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1
ABE, MITSUO. "SUPERSYMMETRIC EXTENSION OF LOCAL LORENTZ SYMMETRY IN THE VIERBEIN FORMALISM OF EINSTEIN GRAVITY." International Journal of Modern Physics A 05, no. 17 (September 10, 1990): 3277–334. http://dx.doi.org/10.1142/s0217751x90001458.
Повний текст джерелаАнотація:
The supersymmetric extension of local Lorentz symmetry in the vierbein formalism is presented in detail. In contrast to supergravity, this new supersymmetry is purely internal, that is, totally irrelevant to general coordinate transformations. Because of its non-Poincaré nature, the degrees of freedom of bosons and fermions need not be equal and it is unnecessary to introduce gravitino. Instead, it is important to introduce a new type of nonlinear realization, called “ξ-field realization”. The Einstein Lagrangian density is trivially superinvariant and the Dirac theory can be supersymmetrized. A globally superinvariant gauge-fixing plus FP-ghost Lagrangian density is constructed in the BRS-invariant way. In the simplest case, canonical quantization is explicitly carried out and unitarity is proved. It is shown that the manifestly covariant canonical formalism of quantum gravity is extended to the supersymmetric form without spoiling its beauty in contrast to supergravity. This supersymmetric theory provides a natural link between quantum gravity and gauge theory; its implies that the chiral gauge group should be SO (N).
2
CHEN, WENFENG. "SUPERGRAVITY DUAL OF THE SUPERCONFORMAL ANOMALY." International Journal of Modern Physics A 26, no. 25 (October 10, 2011): 4475–509. http://dx.doi.org/10.1142/s0217751x11054553.
Повний текст джерелаАнотація:
The supergravity dual of the superconformal anomaly multiplet in a four-dimensional supersymmetric gauge theory is investigated. We consider a well-established dual correspondence between an [Formula: see text]SU(N+M) × SU(N) supersymmetric gauge theory and type IIB superstring in a space–time background described by the Klebanov–Strassler solution. Based on the fact that fractional D3-branes lead to superconformal anomaly on the field theory side and in the meantime deform AdS 5 × T1, 1 space–time background on the gravity side, we observe the five-dimensional gauged supergravity yielded from the spontaneous compactification on the deformed T1, 1, and find that the spontaneous breaking of local symmetries and the consequent super-Higgs effect in the gauged AdS5 supergravity should be the dual of the superconformal anomaly of the four-dimensional supersymmetric gauge theory.
3
Li, Tianjun, D. V. Nanopoulos, and Jorge L. Lopez. "M-Theory Inspired No-Scale Supergravity." Modern Physics Letters A 12, no. 35 (November 20, 1997): 2647–53. http://dx.doi.org/10.1142/s0217732397002788.
Повний текст джерелаАнотація:
We propose a supergravity model that contains elements recently shown to arise in the strongly-coupled limit of the E8 × E8 heterotic string (M-theory), including a no-scale-like Kähler potential, the identification of the string scale with the gauge coupling unification scale, and the onset of supersymmetry breaking at an intermediate scale determined by the size of the 11th dimension of M-theory. We also study the phenomenological consequences of such scenario, which include a rather constrained sparticle spectrum within the reach of present-generation particle accelerators.
4
MIŠKOVIĆ, OLIVERA, and BRANISLAV SAZDOVIĆ. "CANONICAL APPROACH TO 2D SUPERSYMMETRIC WZNW MODEL COUPLED TO SUPERGRAVITY." Modern Physics Letters A 17, no. 29 (September 21, 2002): 1923–36. http://dx.doi.org/10.1142/s0217732302008496.
Повний текст джерелаАнотація:
Starting from the known representation of the Kac–Moody algebra in terms of the coordinates and momenta, we extend it to the representation of the super Kac–Moody and super Virasoro algebras. Then we use general canonical method to construct an action invariant under local gauge symmetries, where components of the super energy–momentum tensor L± and G± play the role of the diffeomorphisms and supersymmetry generators respectively. We obtain covariant extension of WZNW theory with respect to local supersymmetry as well as explicit expressions for gauge transformations.
5
PLEFKA, JAN. "VERTEX OPERATORS FOR THE SUPERMEMBRANE AND BACKGROUND FIELD MATRIX THEORY." International Journal of Modern Physics A 16, no. 05 (February 20, 2001): 660–68. http://dx.doi.org/10.1142/s0217751x01003780.
Повний текст джерелаАнотація:
We derive the vertex operators that are expected to govern the emission of the massless d=11 supermultiplet from the supermembrane in the light cone gauge. Our results immediately imply the linear coupling of matrix theory to an arbitrary supergravity background to all orders in anticommuting coordinates. Finally we address the definition of n-point tree level and one-loop scattering amplitudes. The resulting 3-point tree level amplitudes turn out to agree with d=11 supergravity and are completely fixed by supersymmetry and the existence of a normalizable ground state.
6
Petrini, Michela. "A Systematic Approach to Consistent Truncations of Supergravity Theories." Universe 7, no. 12 (December 9, 2021): 485. http://dx.doi.org/10.3390/universe7120485.
Повний текст джерелаАнотація:
Exceptional generalised geometry is a reformulation of eleven/ten-dimensional supergravity that unifies ordinary diffeomorphisms and gauge transformations of the higher-rank potentials of the theory in an extended notion of diffeormorphisms. These features make exceptional generalised geometry a very powerful tool to study consistent truncations of eleven/ten-dimensional supergravities. In this article, we review how the notion of generalised G-structure allows us to derive consistent truncations to supergravity theories in various dimensions and with different amounts of supersymmetry. We discuss in detail the truncations of eleven-dimensional supergravity to N=4 and N=2 supergravity in five dimensions.
7
GATES, S. JAMES, and J. W. DURACHTA. "GAUGE TWO-FORM IN D=4, N=4 SUPERGEOMETRY WITH SU(4) SUPERSYMMETRY." Modern Physics Letters A 04, no. 21 (October 20, 1989): 2007–16. http://dx.doi.org/10.1142/s0217732389002264.
Повний текст джерелаАнотація:
We employ a gauge two-form [Formula: see text] in place of the pseudoscalar B' to produce a version of on-shell D=4, N=4 superspace supergravity with SU(4) symmetry. The replacement is accomplished using the Chern-Simons forms associated with the six spin-1 fields of N=4 supergravity. Finally, a Green-Schwarz action is presented and the relation of the theory to the N=4, D=4 heterotic string is exhibited.
8
Jha, Raghav G., Simon Catterall, David Schaich, and Toby Wiseman. "Testing the holographic principle using lattice simulations." EPJ Web of Conferences 175 (2018): 08004. http://dx.doi.org/10.1051/epjconf/201817508004.
Повний текст джерелаАнотація:
The lattice studies of maximally supersymmetric Yang-Mills (MSYM) theory at strong coupling and large N is important for verifying gauge/gravity duality. Due to the progress made in the last decade, based on ideas from topological twisting and orbifolding, it is now possible to study these theories on the lattice while preserving an exact supersymmetry on the lattice. We present some results from the lattice studies of two-dimensional MSYM which is related to Type II supergravity. Our results agree with the thermodynamics of different black hole phases on the gravity side and the phase transition (Gregory–Laflamme) between them.
9
Joseph, Anosh. "N = 2* Yang-Mills on the Lattice." EPJ Web of Conferences 175 (2018): 08019. http://dx.doi.org/10.1051/epjconf/201817508019.
Повний текст джерелаАнотація:
The N = 2* Yang-Mills theory in four dimensions is a non-conformal theory that appears as a mass deformation of maximally supersymmetric N = 4 Yang-Mills theory. This theory also takes part in the AdS/CFT correspondence and its gravity dual is type IIB supergravity on the Pilch-Warner background. The finite temperature properties of this theory have been studied recently in the literature. It has been argued that at large N and strong coupling this theory exhibits no thermal phase transition at any nonzero temperature. The low temperature N = 2* plasma can be compared to the QCD plasma. We provide a lattice construction of N = 2* Yang-Mills on a hypercubic lattice starting from the N = 4 gauge theory. The lattice construction is local, gauge-invariant, free from fermion doubling problem and preserves a part of the supersymmetry. This nonperturbative formulation of the theory can be used to provide a highly nontrivial check of the AdS/CFT correspondence in a non-conformal theory.
10
AHN, CHANGHYUN. "PENROSE LIMIT OF AdS4 × V5,2 AND OPERATORS WITH LARGE R CHARGE." Modern Physics Letters A 17, no. 31 (October 10, 2002): 2067–78. http://dx.doi.org/10.1142/s0217732302008654.
Повний текст джерелаАнотація:
We consider M-theory on AdS4 × V5,2 where V5,2 = SO (5)/ SO (3) is a Stiefel manifold. We construct a Penrose limit of AdS4 × V5,2 that provides the pp-wave geometry. There exists a subsector of three-dimensional [Formula: see text] dual gauge theory, by taking both the conformal dimension and R charge large with the finiteness of their difference, which has enhanced [Formula: see text] maximal supersymmetry. We identify operators in the [Formula: see text] gauge theory with supergravity KK excitations in the pp-wave geometry and describe how the gauge theory operators made out of chiral field of conformal dimension 1/3 fall into [Formula: see text] supermultiplets.
11
AHN, CHANGHYUN. "THE GAUGE DUAL OF GAUGED ${\mathcal N}=8$ SUPERGRAVITY THEORY." International Journal of Modern Physics A 25, no. 15 (June 20, 2010): 3025–41. http://dx.doi.org/10.1142/s0217751x10049220.
Повний текст джерелаАнотація:
The most general SU(3) -singlet space of gauged [Formula: see text] supergravity in four-dimensions is studied recently. The SU(3) -invariant six scalar fields are realized by six real four-forms. A family of holographic [Formula: see text] supersymmetric RG flows on M2-branes in three-dimensions is described. This family of flows is driven by three independent mass parameters from the [Formula: see text] theory and is controlled by two IR fixed points, [Formula: see text]-invariant one and [Formula: see text]-invariant one. The generic flow with arbitrary mass parameters is [Formula: see text] supersymmetric and reaches to the [Formula: see text] fixed point where the three masses become identical. A particular [Formula: see text] supersymmetric SU(3) -preserving RG flow from the [Formula: see text]-invariant fixed point to the [Formula: see text]-invariant fixed point is also discussed.
12
BELLUCCI, S. "D=10 SUPERSPACE GEOMETRY AND HETEROTIC SUPERSTRING THEORY (I)." Modern Physics Letters A 03, no. 18 (December 1988): 1775–84. http://dx.doi.org/10.1142/s0217732388002130.
Повний текст джерелаАнотація:
Using a Weyl transformation in superspace, we provide a noncanonical formulation of standard D=10, N=1 supergravity, including the gauge matter sector. This formulation turns out to be ideally suited for carrying out the renormalization of the Green-Schwarz σ-model describing the D=10 heterotic string propagating in a curved background space. By reducing the superspace results to the component level, we derive the supersymmetry transformation laws for the component fields of the theory.
13
AHN, CHANGHYUN, and KYUNGSUNG WOO. "${\mathcal N}=8$ GAUGED SUPERGRAVITY THEORY AND ${\mathcal N}=6$ SUPERCONFORMAL CHERN–SIMONS MATTER THEORY." International Journal of Modern Physics A 25, no. 17 (July 10, 2010): 3407–44. http://dx.doi.org/10.1142/s0217751x10049232.
Повний текст джерелаАнотація:
By studying the previously known holographic [Formula: see text] supersymmetric renormalization group flow (Gowdigere–Warner) in four dimensions, we find the mass deformed Chern–Simons matter theory which has [Formula: see text] supersymmetry by adding the four mass terms among eight adjoint fields. The geometric superpotential from the 11 dimensions is found and provides the M2-brane probe analysis. As second example, we consider known holographic [Formula: see text] supersymmetric renormalization group flow (Pope–Warner) in four dimensions. The eight mass terms are added and similar geometric superpotential is obtained.
14
AHN, CHANGHYUN. "PENROSE LIMIT OF AdS4 × N0,1,0 AND ${\mathcal N} = 3$ GAUGE THEORY." Modern Physics Letters A 17, no. 28 (September 14, 2002): 1847–59. http://dx.doi.org/10.1142/s0217732302008265.
Повний текст джерелаАнотація:
We consider M-theory on AdS4 × N0,1,0 where N0,1,0 = ( SU (3) × (2))/( SU (2) × U (1)). We review a Penrose limit of AdS4 × N0,1,0 that provides the pp-wave geometry of AdS4 × S7. There exists a subsector of three-dimensional [Formula: see text] dual gauge theory, by taking both the conformal dimension and R-charge large with the finiteness of their difference, which has enhanced [Formula: see text] maximal supersymmetry. We identify operators in the [Formula: see text] gauge theory with supergravity KK excitations in the pp-wave geometry and describe how the [Formula: see text] gauge theory operators originating from both [Formula: see text] short vector multiplet and [Formula: see text] long gravitino multiplet fall into [Formula: see text] supermultiplets.
15
Dibitetto, Giuseppe. "Positive Energy and Non-SUSY Flows in ISO(7) Gauged Supergravity." Universe 8, no. 5 (May 23, 2022): 293. http://dx.doi.org/10.3390/universe8050293.
Повний текст джерелаАнотація:
We consider maximal gauged supergravity in 4D with the ISO(7) gauge group, which arises from a consistent truncation of massive IIA supergravity on a six-sphere. Within its G2-invariant sector, the theory is known to possess a supersymmetric AdS extremum, as well as two non-supersymmetric ones. In this context, we provide a first-order formulation of the theory by making use of the Hamilton–Jacobi (HJ) formalism. This allows us to derive a positive energy theorem for both non-supersymmetric extrema. Subsequently, we also find novel non-supersymmetric domain walls (DWs) interpolating between the supersymmetric extremum and each of the other two. Finally, we discuss a perturbative HJ technique that may be used in order to solve for curved DW geometries.
16
WITTEN, EDWARD. "ANTI-DE SITTER SPACE, THERMAL PHASE TRANSITION AND CONFINEMENT IN GAUGE THEORIES." International Journal of Modern Physics A 16, no. 16 (June 30, 2001): 2747–69. http://dx.doi.org/10.1142/s0217751x01004451.
Повний текст джерелаАнотація:
The correspondence between supergravity (and string theory) on AdS space and boundary conformal field theory relates the thermodynamics of [Formula: see text] super-Yang–Mills theory in four dimensions to the thermodynamics of Schwarzschild black holes in anti-de Sitter space. In this description, quantum phenomena such as the spontaneous breaking of the center of the gauge group, magnetic confinement and the mass gap are coded in classical geometry. The correspondence makes it manifest that the entropy of a very large AdS Schwarzschild black hole must scale "holographically" with the volume of its horizon. By similar methods, one can also make a speculative proposal for the description of large N gauge theories in four dimensions without supersymmetry.
17
NISHINO, HITOSHI. "SELF-DUAL SUPERGRAVITY AND SUPERSYMMETRIC YANG-MILLS THEORY COUPLED TO GREEN-SCHWARZ SUPERSTRING." International Journal of Modern Physics A 09, no. 17 (July 10, 1994): 3077–101. http://dx.doi.org/10.1142/s0217751x94001217.
Повний текст джерелаАнотація:
We present the canonical set of superspace constraints for self-dual supergravity, a “self-dual” tensor multiplet and a self-dual Yang-Mills multiplet with N=1 supersymmetry in the space-time with signature (+,+, −, −). For this set of constraints, the consistency of the self-duality conditions on these multiplets with supersymmetry is manifest. The energy-momentum tensors of all the self-dual “matter” multiplets vanish, to be consistent with the self-duality of the Riemann tensor. In particular, the special significance of the “self-dual” tensor multiplet is noted. This result fills the gap left over in our previous series of papers, with respect to the consistent couplings among the self-dual matter multiplets. We also couple these nontrivial backgrounds to a Green-Schwarz superstring σ model, under the requirement of invariance under fermionic (kappa) symmetry. The finiteness of the self-dual supergravity is discussed, based on its “off-shell” structure. A set of exact solutions for the “self-dual” tensor and self-dual Yang-Mills multiplets for the gauge group SL(2) on a self-dual gravitational instanton background is given, and its consistency with the Green-Schwarz string σ model is demonstrated.
18
ANDRIANOPOLI, L., S. FERRARA, R. D'AURIA, and M. A. LLEDÓ. "GAUGED EXTENDED SUPERGRAVITY WITHOUT COSMOLOGICAL CONSTANT: NO-SCALE STRUCTURE AND SUPERSYMMETRY BREAKING." Modern Physics Letters A 18, no. 15 (May 20, 2003): 1001–12. http://dx.doi.org/10.1142/s0217732303009976.
Повний текст джерелаАнотація:
We consider the interplay of duality symmetries and gauged isometries of supergravity models giving N-extended, spontaneously broken supergravity with a no-scale structure. Some examples motivated by superstring and M-theory compactifications are described.
19
CHENG, A. D. Y., and P. V. MONIZ. "CANONICAL QUANTIZATION OF BIANCHI CLASS A MODELS IN N=2 SUPERGRAVITY." Modern Physics Letters A 11, no. 03 (January 30, 1996): 227–45. http://dx.doi.org/10.1142/s0217732396000278.
Повний текст джерелаАнотація:
The theory of N=2 supergravity is applied to Bianchi class A models. Their canonical formulation is addressed for two cases: when the O(2) internal symmetry is (a) global or (b) local. A cosmological constant and mass-like term for the gravitinos are required in the latter but are absent in the former. For the case of global O(2) symmetry, it is shown that the presence of a Maxwell field in the supersymmetry constraints is sufficient to imply a non-conservation of the fermionic number. This effect corresponds to a mixing between different Lorentz invariant fermionic sectors in the wave function of the universe. It is similar to what a cosmological constant term would have caused but considerably different from what occurs in FRW and Bianchi models in N=1 supergravity with scalar fields and fermionic partners. The nonconservation effect is interpreted from the point of view of N=2 supergravity theory. For case (b), we obtain the more general solution of the gauge constraint. Possible quantum physical states are then discussed regarding previous works where Ashtekar variables have been used. These states can be obtained from an N=2 supersymmetric Chern-Simons functional. Some comments concerning the physical validity of the Chern-Simons solution and its transformation into metric representation variables are included.
20
FLEURY, N., and M. RAUSCH DE TRAUBENBERG. "LOCAL FRACTIONAL SUPERSYMMETRY FOR ALTERNATIVE STATISTICS." Modern Physics Letters A 11, no. 11 (April 10, 1996): 899–913. http://dx.doi.org/10.1142/s0217732396000916.
Повний текст джерелаАнотація:
A group theory justification of one-dimensional fractional supersymmetry is proposed using an analog of a coset space, just like the one introduced in 1-D supersymmetry. This theory is then gauged to obtain a local fractional supersymmetry, i.e. a fractional supergravity which is then quantized à la Dirac to obtain an equation of motion for a particle which is in a representation of the braid group and should describe alternative statistics. A formulation invariant under general reparametrization is given by means of a curved fractional superline.
21
CREUTZIG, THOMAS, YASUAKI HIKIDA, and PETER B. RØNNE. "HIGHER SPIN AdS3 SUPERGRAVITY AND ITS CFT DUAL." International Journal of Modern Physics: Conference Series 21 (January 2013): 163–64. http://dx.doi.org/10.1142/s2010194513009628.
Повний текст джерелаАнотація:
Gravity, itself a gauge theory of a spin 2 field, can be extended to a higher spin gauge theory on AdS spaces. Recently, Gaberdiel and Gopakumar conjectured that a large N limit of a 2d minimal model is dual to a bosonic subsector of a higher spin supergravity theory on 3d AdS space. We propose and test the untruncated supersymmetric version of this conjecture where the dual CFT is a large N limit of the [Formula: see text] CP N Kazama-Suzuki model.
22
ABECASIS, C., A. FOUSSATS, and O. ZANDRON. "DIFFEOMORPHICALLY NONEQUIVALENT CLASSES OF SOLUTIONS IN GAUGE THEORIES ON GROUP MANIFOLDS." International Journal of Modern Physics A 03, no. 10 (October 1988): 2303–13. http://dx.doi.org/10.1142/s0217751x88000965.
Повний текст джерелаАнотація:
For the Poincare group manifold we prove that there are solutions for the pseudo-connection one-forms (Yang-Mills potentials) which are not diffeomorphically equivalent to those initially proposed by Ne’eman and Regge in their gauge theory of gravity and supergravity on a (super) group manifold. This is done by imposing the factorization conditions to the geometrical formulation of supersymmetric gauge theory.
23
LI, TIANJUN. "SPONTANEOUS PHYSICAL COMPACTIFICATION OF THE EXTRA DIMENSIONS." Modern Physics Letters A 16, no. 36 (November 30, 2001): 2327–33. http://dx.doi.org/10.1142/s0217732301005941.
Повний текст джерелаАнотація:
We conjecture that the extra dimensions are physical noncompact at high energy scale or high temperature; after the symmetry breaking or cosmological phase transition, the bulk cosmological constant may become negative, and then, the extra dimensions may become physical compact at low energy scale. We show this in a five-dimensional toy brane model with three parallel three-branes and a real bulk scalar whose potential is temperature-dependent. We also point out that after the global or gauge symmetry breaking, or the supersymmetry breaking in supergravity theory, the spontaneous physical compactification of the extra dimensions might be realized.
24
KETOV, SERGEI V., and SHIN SASAKI. "SU(2)×U(1) NONANTICOMMUTATIVE N = 2 SUPERSYMMETRIC GAUGE THEORY." International Journal of Modern Physics A 20, no. 17 (July 10, 2005): 4021–34. http://dx.doi.org/10.1142/s0217751x05020963.
Повний текст джерелаАнотація:
We derive the master function governing the component action of the four-dimensional nonanticommutative (NAC) and fully N = 2 supersymmetric gauge field theory with a nonsimple gauge group U (2) = SU (2) × U (1). The new NAC master function is a nontrivial generalization of the known master functions in the NAC, N = 2 supersymmetric gauge theories with the U(1) and SU(2) gauge groups. We use a Lorentz-singlet NAC-deformation parameter and an N = 2 supersymmetric star (Moyal) product, which do not break any of the fundamental symmetries of the undeformed N = 2 gauge theory. The scalar potential in the NAC-deformed theory is calculated. We also propose the non-Abelian BPS-type equations in the case of the NAC-deformed N = 2 gauge theory with the SU(2) gauge group, and comment on the SU(3) case too. The NAC-deformed field theories can be thought of as the effective (nonperturbative) N = 2 gauge field theories in a certain (scalar only) N = 2 supergravity background.
25
Ellis, John, Zygmunt Lalak, and Witold Pokorski. "Five-dimensional gauged supergravity and supersymmetry breaking in M-theory." Nuclear Physics B 559, no. 1-2 (October 1999): 71–91. http://dx.doi.org/10.1016/s0550-3213(99)00469-1.
Повний текст джерела
26
Moniz, P. V. "Wave Function of a Supersymmetric FRW Model with Vector Fields." International Journal of Modern Physics D 06, no. 04 (August 1997): 465–78. http://dx.doi.org/10.1142/s0218271897000273.
Повний текст джерелаАнотація:
A specific Friedmann–Robertson–Walker (FRW) model derived from the theory of N = 1 supergravity with gauged supermatter is considered in this paper. The supermatter content is restricted to a vector supermultiplet. The corresponding Lorentz and supersymmetry quantum constraints are then derived. Nontrivial solutions are subsequently found. A no-boundary solution is identified while another state may be interpreted as a wormhole solution.
27
BERTOLINI, MATTEO. "FOUR LECTURES ON THE GAUGE/GRAVITY CORRESPONDENCE." International Journal of Modern Physics A 18, no. 31 (December 20, 2003): 5647–711. http://dx.doi.org/10.1142/s0217751x03016811.
Повний текст джерелаАнотація:
We review in a pedagogical manner some of the efforts aimed at extending the gauge/gravity correspondence to nonconformal supersymmetric gauge theories in four dimensions. After giving a general overview, we discuss in detail two specific examples: fractional D-branes on orbifolds and D-branes wrapped on supersymmetric cycles of Calabi–Yau spaces. We explore in particular which gauge theory information can be extracted from the corresponding supergravity solutions, and what the remaining open problems are. We also briefly explain the connection between these and other approaches, such as fractional branes on conifolds, branes suspended between branes, M5-branes on Riemann surfaces and M-theory on G2-holonomy manifolds, and discuss the role played by geometric transitions in all that.
28
DASS, N. D. HARI, and R. SUMITRA. "SYMMETRY REORGANIZATION IN EXACTLY SOLVABLE TWO-DIMENSIONAL QUANTIZED SUPERGRAVITY." International Journal of Modern Physics A 04, no. 09 (May 20, 1989): 2245–72. http://dx.doi.org/10.1142/s0217751x8900090x.
Повний текст джерелаАнотація:
A recent work of Polyakov solving exactly the two-dimensional induced quantum gravity is extended to the two-dimensional induced (1,0) quantum supergravity theory. This theory is found to be exactly integrable in a supersymmetric version of the light cone gauge. Solutions are found to display an infinite dimensional Z2 graded sl(2, R) invariance and a diffeomorphism invariance in one of the coordinates. The origin of these invariances is traced to motions along the gauge slice. A Sugawara construction based on the currents of the infinite dimensional transformations is shown to generate these diffeomorphisms. Explicit results are given for a number of quantum correlation functions.
29
ISHIHARA, MASAFUMI, KAZUO GHOROKU, and AKIHIRO NAKAMURA. "D3/D7 HOLOGRAPHIC GAUGE THEORY AND CHEMICAL POTENTIAL." International Journal of Modern Physics A 23, no. 14n15 (June 20, 2008): 2251–52. http://dx.doi.org/10.1142/s0217751x08040962.
Повний текст джерелаАнотація:
N = 2 supersymmetric Yang-Mills theory with flavor hypermultiplets at finite temperature is studied for finite quark number density (nb) by a dual supergravity background with nontrivial dilaton and axion. The quarks and their number density nb are introduced by embeddings a probe D7 brane. We find a critical value of the chemical potential at the limit of nb = 0, and it coincides with the effective quark mass for nb = 0. At this point, a transition of the D7 embedding configurations occurs between their two typical ones. The phase diagrams of this transition are shown in the plane of chemical potential versus temperature for Yang-Mills theory at finite temperature. In this phase transition, the order parameter is considered as nb. This result seems to be reasonable since this theory is in the quark deconfiment phase.
30
Gallego, Diego. "Light field integration in SUGRA theories." International Journal of Modern Physics A 30, no. 01 (January 9, 2015): 1550003. http://dx.doi.org/10.1142/s0217751x15500037.
Повний текст джерелаАнотація:
We revisit the integration of fields in 𝒩 = 1 Supergravity with the requirement that the effective theory has a reliable two-derivative supersymmetric description. In particular, we study, in a supersymmetric manifest way, the situation where the fields that are mapped out have masses comparable to the Supersymmetry breaking scale and masses of the remaining fields. We find that as long as one stands in regions of the field configuration space where the analytic continuation to superspace of the F-flatness conditions be reliable equations of motion for the fields that are being mapped out, and provided their solutions are stable regardless the dynamics of the remaining fields, such a two-derivative description is a reliable truncation of the full effective theory. The study is mainly focused to models with two chiral sectors, H and L, described by a Kähler invariant function with schematic dependencies of the form [Formula: see text], which leads to a nearly decoupled theory that allows the previous requirements to be easily satisfied in a consistent way. Interestingly, enough for the matters of our study, this kind of models present a scenario that is as safe as the one presented in sequestered models. It is also possible to allow gauge symmetries as long as these appear also factorized in hidden and visible sectors. Then, the integration of the hidden vector superfields is compulsory and proceeds reliably through the D-flatness condition analytically continued to superspace.
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Lazaroiu, C. I., and C. S. Shahbazi. "Generalized Einstein-Scalar-Maxwell theories and locally geometric U-folds." Reviews in Mathematical Physics 30, no. 05 (May 31, 2018): 1850012. http://dx.doi.org/10.1142/s0129055x18500125.
Повний текст джерелаАнотація:
We give the global mathematical formulation of the coupling of four-dimensional scalar sigma models to Abelian gauge fields on a Lorentzian four-manifold, for the generalized situation when the duality structure of the Abelian gauge theory is described by a flat symplectic vector bundle [Formula: see text] defined over the scalar manifold [Formula: see text]. The construction uses a taming of [Formula: see text], which we find to be the correct mathematical object globally encoding the inverse gauge couplings and theta angles of the “twisted” Abelian gauge theory in a manner that makes no use of duality frames. We show that global solutions of the equations of motion of such models give classical locally geometric U-folds. We also describe the groups of duality transformations and scalar-electromagnetic symmetries arising in such models, which involve lifting isometries of [Formula: see text] to the bundle [Formula: see text] and hence differ from expectations based on local analysis. The appropriate version of the Dirac quantization condition involves a discrete local system defined over [Formula: see text] and gives rise to a smooth bundle of polarized Abelian varieties, endowed with a flat symplectic connection. This shows, in particular, that a generalization of part of the mathematical structure familiar from [Formula: see text] supergravity is already present in such purely bosonic models, without any coupling to fermions and hence without any supersymmetry.
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DAS, ASHOK, WEN-JUI HUANG, and SHIBAJI ROY. "ZERO CURVATURE CONDITION OF OSp(2/2) AND THE ASSOCIATED SUPERGRAVITY THEORY." International Journal of Modern Physics A 07, no. 18 (July 20, 1992): 4293–311. http://dx.doi.org/10.1142/s0217751x92001915.
Повний текст джерелаАнотація:
The N=2 fermionic extensions of the KdV equations are derived from the zero curvature condition associated with the graded Lie algebra of OSp(2/2). These equations lead to two bi-Hamiltonian systems, one of which is supersymmetric. We also derive the one-parameter family of N=2 supersymmetric KdV equations without a bi-Hamiltonian structure in this approach. Following our earlier proposal, we interpret the zero curvature condition as a gauge anomaly equation which brings out the underlying current algebra for the corresponding 2D supergravity theory. This current algebra is then used to obtain the operator product expansions of various fields of this theory.
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Yu, Feng. "A cohomological gravity in D = 11." International Journal of Modern Physics A 35, no. 29 (October 20, 2020): 2050181. http://dx.doi.org/10.1142/s0217751x2050181x.
Повний текст джерелаАнотація:
A [Formula: see text] cohomological gravity is introduced. The central piece is a new BRST-like symmetry [Formula: see text] with [Formula: see text] up to a diffeomorphism and gauge symmetry. The only nontrivial observable of this symmetry is a Chern–Simons integral. The construction of the symmetry requires a spin 0 fermion [Formula: see text] and a spin [Formula: see text] boson [Formula: see text] at the minimum, in addition to the standard gravity and gauge fields, to close the algebra off-shell. The gravity action is uniquely determined by requiring a field redefinition type of global symmetry between bosonic and fermionic fields. It is of a simple form [Formula: see text] plus a Chern–Simons term, and appears as the [Formula: see text] supergravity action under a special combination of the fields without independent presence of [Formula: see text] and [Formula: see text]. The [Formula: see text]-invariant path-integral measure, which is also invariant under the global symmetry, is shown to exist for the theory to be valid at quantum level. It achieves only when the fields are redefined under certain combination that is different from the special combination, and the fields in this combination are interpreted as physical fields. At [Formula: see text] limit, where all field combinations converges, the theory reduces to [Formula: see text] supergravity and the global symmetry becomes the local supersymmetry with [Formula: see text] as the local variable. At a nonvanishing [Formula: see text] limit set by residue symmetries upon broken [Formula: see text]-symmetry, the theory admits a cosmological solution that has a wavy term to allow accelerated expansion of the universe while not violate null energy condition.
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Sepehri, Alireza, and Richard Pincak. "G-theory: The generator of M-theory and supersymmetry." Modern Physics Letters A 33, no. 10n11 (April 10, 2018): 1850058. http://dx.doi.org/10.1142/s021773231850058x.
Повний текст джерелаАнотація:
In string theory with ten dimensions, all Dp-branes are constructed from D0-branes whose action has two-dimensional brackets of Lie 2-algebra. Also, in M-theory, with 11 dimensions, all Mp-branes are built from M0-branes whose action contains three-dimensional brackets of Lie 3-algebra. In these theories, the reason for difference between bosons and fermions is unclear and especially in M-theory there is not any stable object like stable M3-branes on which our universe would be formed on it and for this reason it cannot help us to explain cosmological events. For this reason, we construct G-theory with M dimensions whose branes are formed from G0-branes with N-dimensional brackets. In this theory, we assume that at the beginning there is nothing. Then, two energies, which differ in their signs only, emerge and produce 2M degrees of freedom. Each two degrees of freedom create a new dimension and then M dimensions emerge. M-N of these degrees of freedom are removed by symmetrically compacting half of M-N dimensions to produce Lie-N-algebra. In fact, each dimension produces a degree of freedom. Consequently, by compacting M-N dimensions from M dimensions, N dimensions and N degrees of freedom is emerged. These N degrees of freedoms produce Lie-N-algebra. During this compactification, some dimensions take extra i and are different from other dimensions, which are known as time coordinates. By this compactification, two types of branes, Gp and anti-Gp-branes, are produced and rank of tensor fields which live on them changes from zero to dimension of brane. The number of time coordinates, which are produced by negative energy in anti-Gp-branes, is more sensible to number of times in Gp-branes. These branes are compactified anti-symmetrically and then fermionic superpartners of bosonic fields emerge and supersymmetry is born. Some of gauge fields play the role of graviton and gravitino and produce the supergravity. The question may arise that what is the physical reason which shows that this theory is true. We shown that G-theory can be reduced to other theories like nonlinear gravity theories in four dimensions. Also, this theory, can explain the physical properties of fermions and bosons. On the other hand, this theory explains the origin of supersymmetry. For this reason, we can prove that this theory is true. By reducing the dimension of algebra to three and dimension of world to 11 and dimension of brane to four, G-theory is reduced to F(R)-gravity.
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YAJIMA, SATOSHI. "INDEX THEOREM AND CHIRAL ANOMALY IN D = 4, N = 1 SUPERGRAVITY." Modern Physics Letters A 05, no. 14 (June 10, 1990): 1097–102. http://dx.doi.org/10.1142/s0217732390001220.
Повний текст джерелаАнотація:
The chiral anomaly in D = 4 supergravity coupled to supersymmetric Yang-Mills theory is evaluated by using the path integral approach. We consider not only the minimal coupling between the gravitational and gauge fields and the fermion fields but also the interaction term which mixes the gravitino and gaugino. The explicit form of the new anomalous term is given by rewriting the resultant term obtained in flat space in a form corresponding to curved space.
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MAVROMATOS, NICK E., and ELIZABETH WINSTANLEY. "D-PARTICLE RECOIL SPACE–TIMES AND "GLUEBALL" MASSES." International Journal of Modern Physics A 16, no. 02 (January 20, 2001): 251–65. http://dx.doi.org/10.1142/s0217751x01002336.
Повний текст джерелаАнотація:
We discuss the properties of matter in a D-dimensional anti-de Sitter-type space–time induced dynamically by the recoil of a very heavy D(irichlet)-particle defect embedded in it. The particular form of the recoil geometry, which from a world sheet view point follows from logarithmic conformal field theory deformations of the pertinent sigma-models, results in the presence of both infrared and ultraviolet (spatial) cutoffs. These are crucial in ensuring the presence of mass gaps in scalar matter propagating in the D-particle recoil space–time. The analogy of this problem with the Liouville-string approach to QCD, suggested earlier by John Ellis and one of the present authors, prompts us to identify the resulting scalar masses with those obtained in the supergravity approach based on the Maldacena's conjecture, but without the imposition of any supersymmetry in our case. Within reasonable numerical uncertainties, we observe that agreement is obtained between the two approaches for a particular value of the ratio of the two cutoffs of the recoil geometry. Notably, our approach does not suffer from the ambiguities of the supergravity approach as regards the validity of the comparison of the glueball masses computed there with those obtained in the continuum limit of lattice gauge theories.
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NISHINO, HITOSHI, and S. JAMES GATES. "CHERN–SIMONS THEORIES WITH SUPERSYMMETRIES IN THREE DIMENSIONS." International Journal of Modern Physics A 08, no. 19 (July 30, 1993): 3371–421. http://dx.doi.org/10.1142/s0217751x93001363.
Повний текст джерелаАнотація:
We study various Chern–Simons (CS) theories in three dimensions with extended super-symmetries. Starting with remarks on nonsupersymmetric cases, we give (i) N = 2 non-Abelian CS theories, (ii) N = 4 non-Abelian CS theory, (iii) conformal supergravity CS theories for general N ≥ 2 up to N = ∞, (iv) CS action in terms of composite gauge fields, based on the N = 1 supersymmetric SO (n + 1)/ SO (n) σ model, (v) relationship of CS theories with higher-dimensional supersymmetric theories, especially with ten-dimensional heterotic string theory, (vi) a prototype model yielding the N = 2 CS theories, (vii) N = 8M and N = 8M − 2 extended supersymmetric Abelian CS theories, and (viii) CS theories for graded Lie groups. Some remarks on anyon models and supersymmetric Jones polynomials are also given.
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KIMURA, TADAHIKO, and ICHIRO ODA. "DUALITY PROPERTIES OF SUPER D-BRANE ACTIONS IN GENERAL TYPE IIB SUPERGRAVITY BACKGROUND." International Journal of Modern Physics A 16, no. 04 (February 10, 2001): 503–27. http://dx.doi.org/10.1142/s0217751x0100324x.
Повний текст джерелаАнотація:
We examine duality transformations of supersymmetric and κ-symmetric Dp-brane actions in a general type IIB supergravity background where in particular the dilaton and the axion are not supposed to be zero or a constant but a general superfield. Due to nonconstant dilaton and axion, we can explicitly show that the dilaton and the axion as well as the two two-form gauge potentials transform as doublets under the SL (2,R) transformation from the point of view of the world volume field theory.
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ITOH, KATSUMI. "BRST QUANTIZATION OF POLYAKOV’S TWO-DIMENSIONAL GRAVITY II." International Journal of Modern Physics A 06, no. 07 (March 20, 1991): 1233–51. http://dx.doi.org/10.1142/s0217751x91000642.
Повний текст джерелаАнотація:
Two-dimensional supergravity coupled to the supersymmetric minimal models is quantized by the BRST method. We analysed the physical state condition and found that a state allowed in the physical spectrum must be a direct product of primary states in the matter and gravity sectors. The decoupling mechanism of the unphysical modes is quite similar to the first quantized string theory in the RNS formalism. The formula of KPZ for gravitational scaling dimensions is rederived from the physical state condition. This analysis is done in the conformal gauge.
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NOJIRI, SHIN'ICHI, and SERGEI D. ODINTSOV. "QUANTUM DILATONIC GRAVITY IN d=2,4 AND 5 DIMENSIONS." International Journal of Modern Physics A 16, no. 06 (March 10, 2001): 1015–108. http://dx.doi.org/10.1142/s0217751x01002968.
Повний текст джерелаАнотація:
We review (mainly) quantum effects in the theories where the gravity sector is described by metric and dilaton. The one-loop effective action for dilatonic gravity in two and four dimensions is evaluated. Renormalization group equations are constructed. The conformal anomaly and induced effective action for 2d and 4d dilaton coupled theories are found. It is applied to the study of quantum aspects of black hole thermodynamics, like calculation of Hawking radiation and quantum corrections to black hole parameters and investigation of quantum instability for such objects with multiple horizons. The use of the above effective action in the construction of nonsingular cosmological models in Einstein or Brans–Dicke (super)gravity and investigation of induced wormholes in supersymmetric Yang–Mills theory are given.5d dilatonic gravity (bosonic sector of compactified IIB supergravity) is discussed in connection with bulk/boundary (or AdS/CFT) correspondence. Running gauge coupling and quark–antiquark potential for boundary gauge theory at zero or nonzero temperature are calculated from d=5 dilatonic anti-de Sitter-like background solution which represents anti-de Sitter black hole for periodic time.
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POLLOCK, M. D. "THE VACUUM STATE IN THE HETEROTIC SUPERSTRING THEORY." International Journal of Modern Physics D 16, no. 04 (April 2007): 591–618. http://dx.doi.org/10.1142/s0218271807009371.
Повний текст джерелаАнотація:
The gravitational vacuum state of the heterotic superstring theory is derived by substituting the maximally symmetric D-space [Formula: see text], where [Formula: see text] is the cosmological constant, into the classical field equations obtained from the effective ten-Lagrangian including quartic higher-derivative terms, [Formula: see text]. If the theory is reduced to the physical dimensionality D = 4, as required by supersymmetry and phenomenology, the ground state, due to [Formula: see text] and [Formula: see text], is anti-de Sitter space with [Formula: see text], where [Formula: see text] is the inverse gauge coupling and κ2 ≡ 8πG N is the gravitational coupling, G N being the Newton constant. The term [Formula: see text], derived from the Euler-number density [Formula: see text], is a total divergence and the quadratic term [Formula: see text], derived from [Formula: see text], vanishes identically, while the quadratic anomaly [Formula: see text], which alone would give rise to a positive Λ(anom), is ignorable for the reduced [Formula: see text] heterotic string, containing n v = 488 vector fields, because Λ( anom ) ≳ -Λ unless n v ≳ 7,000. For hypothetical reduction to the higher dimensonalities D = 5, 9, 10, [Formula: see text] has the effect of augmenting the Boulware–Deser, anti-de Sitter space vacuum due to [Formula: see text], which becomes exact when D = 8, for which [Formula: see text] vanishes identically, but leads to a de Sitter space for D = 6, 7 thus justifying the Ricci-flat vacuum state for the six-dimensional internal space. For simplicity, we assume compactification onto a toroidal internal space when D ≥ 5, so that all contributions of the form [Formula: see text] vanish. The remaining terms [Formula: see text] and [Formula: see text] are then almost comparable in effect, bringing into question the convergence of the Lagrangian power series [Formula: see text] in the Einstein space, and consequently the validity of the results obtained. Without knowledge of the yet higher-order terms [Formula: see text], n ≥ 6, however, no further analysis is possible. As they stand the results constitute a realization of the limiting-curvature hypothesis of Frolov et al., and are also discussed from the viewpoint of causality. Finally, the dimensional parameter a, introduced by Volkov and Akulov to define the non-linear global supersymmetry transformations, gives rise to a negative cosmological constant -κ2/a, which can therefore be identified with Λ (which has the functional dependence [Formula: see text] found by Freedman and Das for extended supergravity). This leads to the estimate B r ~ 2 for the dimensionless radius-squared of the internal space, implying a small radius of compactification, in agreement with previous estimates obtained via supersymmetry, and provides a realization of the super-Higgs effect.
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Jang, Dongmin, Yoonbai Kim, O.-Kab Kwon, and D. D. Tolla. "Exact Holography of Massive M2-brane Theories and Entanglement Entropy." EPJ Web of Conferences 168 (2018): 07002. http://dx.doi.org/10.1051/epjconf/201816807002.
Повний текст джерелаАнотація:
We test the gauge/gravity duality between the N = 6 mass-deformed ABJM theory with Uk(N) × U-k(N) gauge symmetry and the 11-dimensional supergravity on LLM geometries with SO(4)=ℤk × SO(4)=ℤk isometry. Our analysis is based on the evaluation of vacuum expectation values of chiral primary operators from the supersymmetric vacua of mass-deformed ABJM theory and from the implementation of Kaluza-Klein (KK) holography to the LLM geometries. We focus on the chiral primary operator (CPO) with conformal dimension Δ = 1. The non-vanishing vacuum expectation value (vev) implies the breaking of conformal symmetry. In that case, we show that the variation of the holographic entanglement entropy (HEE) from it’s value in the CFT, is related to the non-vanishing one-point function due to the relevant deformation as well as the source field. Applying Ryu Takayanagi’s HEE conjecture to the 4-dimensional gravity solutions, which are obtained from the KK reduction of the 11-dimensional LLM solutions, we calculate the variation of the HEE. We show how the vev and the value of the source field determine the HEE.
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de Alwis, S. P., and Nikolaos Irges. "Gauge mediated supersymmetry breaking and supergravity." Physics Letters B 486, no. 3-4 (August 2000): 329–36. http://dx.doi.org/10.1016/s0370-2693(00)00786-3.
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Tripathy, Prasanta K. "Non-Supersymmetric Attractors in String Theory and Gauged Supergravity." Nuclear Physics B - Proceedings Supplements 251-252 (June 2014): 33–37. http://dx.doi.org/10.1016/j.nuclphysbps.2014.04.006.
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LOPEZ, JORGE L., and D. V. NANOPOULOS. "STRING NO-SCALE SUPERGRAVITY." International Journal of Modern Physics A 11, no. 19 (July 30, 1996): 3439–77. http://dx.doi.org/10.1142/s0217751x96001644.
Повний текст джерелаАнотація:
We explore the postulates of string no-scale supergravity in the context of free-fermionic string models. The requirements of vanishing vacuum energy, flat directions of the scalar potential, and stable no-scale mechanism impose strong restrictions on possible string no-scale models, which must possess only two or three moduli, and a constrained massless spectrum. The soft-supersymmetry-breaking parameters involving all twisted and untwisted fields are given explicitly. Our calculations take into account the possible existence of an anomalous U A(1) factor in the gauge group, and reveal some novel effects concerning the stability of the no-scale mechanism in the presence of U A(1). This class of models contains no free parameters, i.e. in principle all supersymmetric particle masses and interactions are completely determined. A computerized search for free-fermionic models with the desired properties yields a candidate SU (5)×U(1) model containing extra [Formula: see text] matter representations that allow gauge coupling unification at the string scale. Our candidate model possesses a benign nonuniversal assignment of supersymmetry-breaking scalar masses, which may have interesting low-energy experimental consequences.
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Linch, William D., and Warren Siegel. "F-theory superspace." Journal of High Energy Physics 2021, no. 3 (March 2021). http://dx.doi.org/10.1007/jhep03(2021)059.
Повний текст джерелаАнотація:
Abstract We consider, at the linearized level, the superspace formulation of lower-dimensional F-theory. In particular, we describe the embedding of 3D Type II super-gravity of the superstring, or 4D, N = 1 supergravity of M-theory, into the corresponding F-theory in full detail, giving the linearized action and gauge transformations in terms of the prepotential. This manifestly supersymmetric formulation reveals some features not evident from a component treatment, such as Weyl and local S-supersymmetry invariances. The linearized multiplet appears as a super 3-form (just as that for the manifestly T-dual theory is a super 2-form), reflecting the embedding of M-theory (as the T-dual theory embeds Type II supergravity). We also give the embedding of matter multiplets into this superspace, and derive the F-constraint from the gauge invariance of the gauge invariance.
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Caroca, Ricardo, Patrick Concha, Diego Peñafiel, and Evelyn Rodríguez. "Three-dimensional teleparallel Chern-Simons supergravity theory." European Physical Journal C 81, no. 8 (August 2021). http://dx.doi.org/10.1140/epjc/s10052-021-09554-2.
Повний текст джерелаАнотація:
AbstractIn this work we present a gauge-invariant three-dimensional teleparallel supergravity theory using the Chern-Simons formalism. The present construction is based on a supersymmetric extension of a particular deformation of the Poincaré algebra. At the bosonic level the theory describes a non-Riemannian geometry with a non-vanishing torsion. In presence of supersymmetry, the teleparallel supergravity theory is characterized by a non-vanishing super-torsion in which the cosmological constant can be seen as a source for the torsion. We show that the teleparallel supergravity theory presented here reproduces the Poincaré supergravity in the vanishing cosmological limit. The extension of our results to $${\mathcal {N}}=p+q$$ N = p + q supersymmetries is also explored.
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Edison, Alex, Song He, Henrik Johansson, Oliver Schlotterer, Fei Teng, and Yong Zhang. "Perfecting one-loop BCJ numerators in SYM and supergravity." Journal of High Energy Physics 2023, no. 2 (February 15, 2023). http://dx.doi.org/10.1007/jhep02(2023)164.
Повний текст джерелаАнотація:
Abstract We take a major step towards computing D-dimensional one-loop amplitudes in general gauge theories, compatible with the principles of unitarity and the color-kinematics duality. For n-point amplitudes with either supersymmetry multiplets or generic non-supersymmetric matter in the loop, simple all-multiplicity expressions are obtained for the maximal cuts of kinematic numerators of n-gon diagrams. At n = 6, 7 points with maximal supersymmetry, we extend the cubic-diagram numerators to encode all contact terms, and thus solve the long-standing problem of simultaneously realizing the following properties: color-kinematics duality, manifest locality, optimal power counting of loop momenta, quadratic rather than linearized Feynman propagators, compatibility with double copy as well as all graph symmetries. Color-kinematics dual representations with similar properties are presented in the half-maximally supersymmetric case at n = 4, 5 points. The resulting gauge-theory integrands and their supergravity counterparts obtained from the double copy are checked to reproduce the expected ultraviolet divergences.
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Eder, K., and H. Sahlmann. "Holst-MacDowell-Mansouri action for (extended) supergravity with boundaries and super Chern-Simons theory." Journal of High Energy Physics 2021, no. 7 (July 2021). http://dx.doi.org/10.1007/jhep07(2021)071.
Повний текст джерелаАнотація:
Abstract In this article, the Cartan geometric approach toward (extended) supergravity in the presence of boundaries will be discussed. In particular, based on new developments in this field, we will derive the Holst variant of the MacDowell-Mansouri action for $$ \mathcal{N} $$ N = 1 and $$ \mathcal{N} $$ N = 2 pure AdS supergravity in D = 4 for arbitrary Barbero-Immirzi parameters. This action turns out to play a crucial role in context of boundaries in the framework of supergravity if one imposes supersymmetry invariance at the boundary. For the $$ \mathcal{N} $$ N = 2 case, it follows that this amounts to the introduction of a θ-topological term to the Yang-Mills sector which explicitly depends on the Barbero-Immirzi parameter. This shows the close connection between this parameter and the θ-ambiguity of gauge theory.We will also discuss the chiral limit of the theory, which turns out to possess some very special properties such as the manifest invariance of the resulting action under an enlarged gauge symmetry. Moreover, we will show that demanding supersymmetry invariance at the boundary yields a unique boundary term corresponding to a super Chern-Simons theory with OSp($$ \mathcal{N} $$ N |2) gauge group. In this context, we will also derive boundary conditions that couple boundary and bulk degrees of freedom and show equivalence to the results found in the D’Auria-Fré approach in context of the non-chiral theory. These results provide a step towards of quantum description of supersymmetric black holes in the framework of loop quantum gravity.
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Antoniadis, Ignatios, Jean-Pierre Derendinger, Hongliang Jiang, and Gabriele Tartaglino-Mazzucchelli. "Magnetic deformation of super-Maxwell theory in supergravity." Journal of High Energy Physics 2020, no. 8 (August 2020). http://dx.doi.org/10.1007/jhep08(2020)079.
Повний текст джерелаАнотація:
Abstract A necessary condition for partial breaking of $$ \mathcal{N} $$ N = 2 global supersymmetry is the presence of nonlinear deformations of the field transformations which cannot be generated by background values of auxiliary fields. This work studies the simplest of these deformations which already occurs in $$ \mathcal{N} $$ N = 1 global supersymmetry, and its coupling to supergravity. It can be viewed as an imaginary constant shift of the D-auxiliary real field of an abelian gauge multiplet. We show how this deformation describes the magnetic dual of a Fayet-Iliopoulos term, a result that remains valid in supergravity, using its new-minimal formulation. Local supersymmetry and the deformation induce a positive cosmological constant. Moreover, the deformed U(1) Maxwell theory coupled to supergravity describes upon elimination of the auxiliary fields the gauging of R-symmetry, realised by the Freedman model of 1976. To this end, we construct the chiral spinor multiplet in superconformal tensor calculus by working out explicitly its transformation rules and use it for an alternative description of the new-minimal supergravity coupled to a U(1) multiplet. We also discuss the deformed Maxwell theory in curved superspace.