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Автор: Grafiati

Опубліковано: 14 березня 2023

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Статті в журналах з теми "Supersymmetric instantons"

COHN, J. D., and H. DYKSTRA. "THE MARINARI-PARISI MODEL AND COLLECTIVE FIELD THEORY." Modern Physics Letters A 07, no. 13 (April 30, 1992): 1163–73. http://dx.doi.org/10.1142/s0217732392003621.

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We derive the supersymmetric collective field theory for the Marinari-Parisi model. For a specific choice of the superpotential, to leading order we find a one-parameter family of ground states which can be connected via instantons. At this level of analysis the instanton size implied by the underlying matrix model does not appear.

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Martin, I., and A. Restuccia. "Supersymmetric instantons and heterotic solitons." Physics Letters B 271, no. 3-4 (November 1991): 361–64. http://dx.doi.org/10.1016/0370-2693(91)90101-u.

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Mariño, Marcos, Ruben Minasian, Gregory Moore, and Andrew Strominger. "Nonlinear instantons from supersymmetric p-branes." Journal of High Energy Physics 2000, no. 01 (January 7, 2000): 005. http://dx.doi.org/10.1088/1126-6708/2000/01/005.

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ARNONE, S., S. CHIANTESE, and K. YOSHIDA. "APPLICATIONS OF EXACT RENORMALIZATION GROUP TECHNIQUES TO THE NON-PERTURBATIVE STUDY OF SUPERSYMMETRIC GAUGE FIELD THEORY." International Journal of Modern Physics A 16, no. 11 (April 30, 2001): 1811–24. http://dx.doi.org/10.1142/s0217751x01004499.

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Exact Renormalization Group techniques are applied to supersymmetric models in order to get some insights into the low energy effective actions of such theories. Starting from the ultra-violet finite mass deformed N=4 supersymmetric Yang Mills theory, one varies the regularising mass and compensates for it by introducing an effective Wilsonian action. (Polchinski's) renormalization group equation is modified in an essential way by the presence of rescaling (a.k.a. Konishi) anomaly, which is responsible for the beta-function. When supersymmetry is broken up to N=1 the form of effective actions in terms of massless fields is quite reasonable, while in the case of the N=2 model we appear to have problems related to instantons.

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Billó, Marco, Pietro Fré, Riccardo D'auria, Sergio Ferrara, Paolo Soriani, and Antoine Van Proeyen. "R Symmetry and the Topological Twist of N = 2 Effective Supergravities of Heterotic Strings." International Journal of Modern Physics A 12, no. 02 (January 20, 1997): 379–418. http://dx.doi.org/10.1142/s0217751x97000475.

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We discuss R symmetries in locally supersymmetric N = 2 gauge theories coupled to hypermultiplets which can be thought of as effective theories of heterotic superstring models. In this type of supergravities a suitable R symmetry exists and can be used to topologically twist the theory: the vector multiplet containing the dilaton–axion field has different R charge assignments with respect to the other vector multiplets. Correspondingly a system of coupled instanton equations emerges, mixing gravitational and Yang–Mills instantons with triholomorphic hyperinstantons and axion instantons. For the tree level classical special manifolds ST(n) = SU(1,1)/U(1) × SO(2,n)/[SO(2) × SO(n)], R symmetry with the specified properties is a continuous symmetry, but for the quantum-corrected manifolds [Formula: see text] a discrete R group of electric–magnetic duality rotations is sufficient and we argue that it exists.

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Ovchinnikov, Igor V., Wenyuan Li, Yuquan Sun, Andrew E. Hudson, Karlheinz Meier, Robert N. Schwartz, and Kang L. Wang. "Criticality or Supersymmetry Breaking?" Symmetry 12, no. 5 (May 12, 2020): 805. http://dx.doi.org/10.3390/sym12050805.

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In many stochastic dynamical systems, ordinary chaotic behavior is preceded by a full-dimensional phase that exhibits 1/f-type power spectra and/or scale-free statistics of (anti)instantons such as neuroavalanches, earthquakes, etc. In contrast with the phenomenological concept of self-organized criticality, the recently found approximation-free supersymmetric theory of stochastics (STS) identifies this phase as the noise-induced chaos (N-phase), i.e., the phase where the topological supersymmetry pertaining to all stochastic dynamical systems is broken spontaneously by the condensation of the noise-induced (anti)instantons. Here, we support this picture in the context of neurodynamics. We study a 1D chain of neuron-like elements and find that the dynamics in the N-phase is indeed featured by positive stochastic Lyapunov exponents and dominated by (anti)instantonic processes of (creation) annihilation of kinks and antikinks, which can be viewed as predecessors of boundaries of neuroavalanches. We also construct the phase diagram of emulated stochastic neurodynamics on Spikey neuromorphic hardware and demonstrate that the width of the N-phase vanishes in the deterministic limit in accordance with STS. As a first result of the application of STS to neurodynamics comes the conclusion that a conscious brain can reside only in the N-phase.

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Szabo, Richard J. "Instantons, Topological Strings, and Enumerative Geometry." Advances in Mathematical Physics 2010 (2010): 1–70. http://dx.doi.org/10.1155/2010/107857.

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We review and elaborate on certain aspects of the connections between instanton counting in maximally supersymmetric gauge theories and the computation of enumerative invariants of smooth varieties. We study in detail three instances of gauge theories in six, four, and two dimensions which naturally arise in the context of topological string theory on certain noncompact threefolds. We describe how the instanton counting in these gauge theories is related to the computation of the entropy of supersymmetric black holes and how these results are related to wall-crossing properties of enumerative invariants such as Donaldson-Thomas and Gromov-Witten invariants. Some features of moduli spaces of torsion-free sheaves and the computation of their Euler characteristics are also elucidated.

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Galperin, A., and E. Sokatchev. "Supersymmetric sigma models and 't Hooft instantons." Classical and Quantum Gravity 13, no. 2 (February 1, 1996): 161–70. http://dx.doi.org/10.1088/0264-9381/13/2/004.

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Birmingham, Danny, Mark Rakowski, and George Thompson. "Supersymmetric instantons and topological quantum field theory." Physics Letters B 212, no. 2 (September 1988): 187–90. http://dx.doi.org/10.1016/0370-2693(88)90522-9.

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Frenkel, E., A. Losev, and N. Nekrasov. "Instantons beyond topological theory. I." Journal of the Institute of Mathematics of Jussieu 10, no. 3 (May 12, 2011): 463–565. http://dx.doi.org/10.1017/s1474748011000077.

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AbstractMany quantum field theories in one, two and four dimensions possess remarkable limits in which the instantons are present, the anti-instantons are absent, and the perturbative corrections are reduced to one-loop. We analyse the corresponding models as full quantum field theories, beyond their topological sector. We show that the correlation functions of all, not only topological (or BPS), observables may be studied explicitly in these models, and the spectrum may be computed exactly. An interesting feature is that the Hamiltonian is not always diagonalizable, but may have Jordan blocks, which leads to the appearance of logarithms in the correlation functions. We also find that in the models defined on Kähler manifolds the space of states exhibits holomorphic factorization. We conclude that in dimensions two and four our theories are logarithmic conformal field theories.In Part I we describe the class of models under study and present our results in the case of one-dimensional (quantum mechanical) models, which is quite representative and at the same time simple enough to analyse explicitly. Part II will be devoted to supersymmetric two-dimensional sigma models and four-dimensional Yang–Mills theory. In Part III we will discuss non-supersymmetric models.

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Більше джерел

Дисертації з теми "Supersymmetric instantons"

Pomeroy, Neil B. "Multi-instantons and supersymmetric SU(N) gauge theories." Thesis, Durham University, 2002. http://etheses.dur.ac.uk/3757/.

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In this thesis the proposed exact results for low energy effective N = 2 supersymmetric SU(N) Yang-Mills gauge theory coupled to Nf fundamental matter multiplets in four dimensions are considered. The proposed exact results are based upon the work of Seiberg and Witten for low energy effective four dimensional M = 2 supersymmetric SU[2) Yang-Mills gauge theory coupled to Nf fundamental matter multiplets. The testing and matching of the proposed exact results via supersymmetric instanton calculus are the motivation for two studies. Firstly, we study the ADHM construction of instantons for gauge groups U(N) and SU(2) and for topological charge two and three. The ADHM constraints which implicitly specify instanton gauge field configurations are solved for the explicit exact general form of instantons with topological charge two and gauge group U[N). This is the first explicit and general multi-instanton configuration for the unitary gauge groups. The U[N) ADHM two-instanton configuration may be used in further tests and matching of the proposed exact results in low energy effective M =2 supersymmetric SU(iV) Yang-Mills gauge theories by comparison with direct instanton calculations. Secondly, a one-instanton level test is performed for the reparameterization scheme proposed by Argyres and Pelland matching the conjectured exact low energy results and instanton predictions for the instanton contributions to the prepotential of low energy effective M = 2 supersymmetric SU [N) Yang-Mills gauge theory with Nf = 2N mass-less fundamental matter multiplets. The constants within the reparameterization scheme which ensure agreement between the exact results and the instanton predictions for general N > 1 are derived for the entire quantum moduli space. This constitutes a non-trivial test of the proposed reparameterization scheme, which eliminates the discrepancies arising when the two sets of results are compared.

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Weir, William Alexander. "Higher derivative terms and their influence on N=2 supersymmetric systems." Thesis, Durham University, 1999. http://etheses.dur.ac.uk/4290/.

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This thesis is concerned with so-called higher derivative terms which arise in low energy approximations to certain physical models. In particular, the aim is to investigate the role that such terms play in low energy N=2 supersymmetric gauge theories in 4 dimensions, with gauge group SU(2).Chapter one serves as an introduction to the notions of supersymmetry and superfields. The problem of constructing an effective action which describes the low energy dynamics is introduced, and the construction of the Wilsonian action in terms of light and heavy modes is developed. The concept on a derivative expansion is also described. Chapter two introduces N=2 supersymmetric gauge theories with spontaneous symmetry breaking. It is observed that such systems always have a Bogomolnyi bound, and the consequences are discussed. We then develop a derivative expansion of this system in terms of N=2 superfields, drawing particular attention to the next-to- leading order derivative term (that is, those with 4 derivatives/8 fermions). The duality properties of such a term are reviewed, and their impact on the mass formula discussed. Conclusions are drawn as to their influence on the results of Seiberg and Witten. Chapter three deals with a non-renormalisation theorem for the next-to-leading order higher derivative term proposed by Dine and Seiberg. This states that instanton contributions to such a term in massless N=2 SU(N(_c)) gauge theories vanish when the number of flavours N(_f) = 2N(_c). We prove this result using the ADHM formalism for multi-instantons in the case N(_c) = 2.

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Cagnazzo, Alessandra. "Superstring Theories on non-maximally supersymmetric AdS backgrounds." Doctoral thesis, Università degli studi di Padova, 2012. http://hdl.handle.net/11577/3425458.

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The subject of this thesis is Superstring Theories on Anti de Sitter backgrounds that do not have maximal supersymmetry ($AdS_4\times CP^3$ and $AdS_2\times S^2\times T^6$), a feature that introduces complications in studying these theories. In particular, in the non-maximally supersymmetric backgrounds the Green-Schwarz superstring is not fully described by a worldsheet sigma model on a corresponding supercoset space, since it has extra (non-coset) fermionic degrees of freedom associated with the broken supersymmetries. We concentrate on the study of the integrability of these theories with the aim to reveal how the non-coset fermionic modes enter into and deform the integrable structure of these string theories. We construct various (gauge-related) forms of the zero-curvature Lax connecton for the superstrings in $AdS_4\times CP^3$ and $AdS_2\times S^2\times T^6$ and show that in the presence of the non-coset degrees of freedom the important property of the Lax connection to be $\mathbb Z_4$-invariant persists. In the case of the $AdS_4\times CP^3$ superstring we also study the string instanton wrapping a non-trivial two-cycle in $CP^3$ and find that it has twelve fermionic zero modes associated with $1/2$ of the supersymmetry of the background, thus manifesting that this exact topologically non-trivial classical solution is $1/2$ BPS.
L'argomento di questa tesi sono le Teorie di Superstringa su spazi Anti de Sitter che non hanno supersimmetria massimale ($AdS_4\times CP^3$ e $AdS_2\times S^2\times T^6$), una caretteristica che introduce molte complicazioni nello studio delle teorie stesse. In particolare, in spazi non massimamente supersimmetrici la superstringa di Green-Schwarz non è completamente descritta da un modello sigma di worldsheet sul corrispondente spazio di coset, dato che possiede ulteriori gradi di libertà fermionici (non-coset), associati alle supersimmetrie rotte. Ci concentriamo sullo studio dell'Integrabilità di queste teorie con l'obbiettivo di scoprire come i modi ferionici di non-coset entrino in e deformino la struttura integrabile di queste teorie di stringa. Costruiamo varie forme (collegate da trasformazioni di gauge) di connessioni di Lax a curvatura zero per la stringa in $AdS_4\times CP^3$ e $AdS_2\times S^2\times T^6$ e mostriamo che in presenza dei gradi di libertà non-coset la $\mathbb Z_4$-invarianza persiste. Nel caso della superstringa in $AdS_4\times CP^3$ studiamo anche l'istantone di stringa che si avvolge su di un ciclo non triviale in $CP^3$ e troviamo che ha dodici zero modi fermionici associati con $1/2$ delle supersimmetrie dello spazio, quindi che questa soluzione classica, esatta e topologicamente non-banale è $1/2$ BPS.

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RADEMACHER, RICARDO JAVIER. "MINIMAL SUPERSYMMETRIC STANDARD MODEL PARAMETER SPACE EXCLUSION BY ANALYZING METASTABLE SCALAR VACUUM CONFIGURATIONS." University of Cincinnati / OhioLINK, 2002. http://rave.ohiolink.edu/etdc/view?acc_num=ucin1022856740.

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Koehl, Christian. "Geometry of supersymmetric sigma models and D-brane solitons." Thesis, Queen Mary, University of London, 1999. http://ethos.bl.uk/OrderDetails.do?uin=uk.bl.ethos.325106.

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Slater, Matthew J. "Instanton effects in supersymmetric SU(N) gauge theories." Thesis, Durham University, 1998. http://etheses.dur.ac.uk/4812/.

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We investigate nonperturbative effects due to instantons in N = 2 supersymmetric SU(N) Yang-Mills models, with the aim of testing the exact results predicted for these models. In two separate semiclassical calculations we obtain the one-instanton contribution to the Higgs condensate u(_3) = (TrA(^3)) and to the prepotential F. Comparing our results with the exact predictions, we find complete agreement except when the number of flavours of fundamental matter hypermultiplets, N(_f), takes certain values. The source of the u(_3) discrepancy is an ambiguity in the parameterization of the hyperelliptic curves from which the exact predictions are derived when N(_f) ≥ N. This ambiguity can easily be fixed using the results of instanton calculations. The discrepancy associated with T appears in the finite N(_f) = 2N models. For these models we are unable to modify the curves to agree with the instanton calculations when N > 3. Our one-instanton calculation of the prepotential is facilitated by a multi-instanton calculus which we construct, starting from the general solution of Atiyah, Drinfeld, Hitchin and Manin. Our calculus comprises: (i) the super-multi-instanton background, (ii) the su persymmetric multi-instanton action and (iii) the supersymmetric semiclassical collective coordinate measure. Our calculus has application to supersymmetric Yang-Mills theory with gauge group U(N) or SU(_N). We employ our instanton calculus to derive results at arbitrary k-instanton levels. In N =2 supersymmetric SU(N) Yang-Mills theory, we derive a closed form expression for the A;-instanton contribution to the prepotential. This amounts to a solution, in quadratures, of the low-energy physics of the theory, obtained from first principles. In supersymmetric SU(2) Yang-Mills theory, we use our calculus to investigate multi-instanton contributions to higher-derivative terms in the Wilsonian effective action. Using a scaling argument, based on general properties of the SU(2) k-instanton action and measure, we show that in the finite, massless N = 2 and N = 4 models, all k-instanton contributions to the next-to- leading higher-derivative terms vanish. This confirms a nonperturbative nonrenormalization theorem due to Dine and Seiberg.

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Kanno, Hiroaki, and Sanefumi Moriyama. "Instanton calculus and loop operator in supersymmetric gauge theory." American Physical Society, 2008. http://hdl.handle.net/2237/11282.

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AMARITI, ANTONIO. "Recent aspects of seiberg duality: metastable vacua, stringy instantons and M2-branes." Doctoral thesis, Università degli Studi di Milano-Bicocca, 2009. http://hdl.handle.net/10281/7540.

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I review the basic aspects of UV/IR duality in N=1 supersymmetric gauge theories and discuss recent application. I focus on supersymmetry breaking in metastable vacua, instanton corrections and new applications to three dimensional field theories and M2 branes.

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Частини книг з теми "Supersymmetric instantons"

Catto, Sultan. "Instantons from Supersymmetric Conformal Chiral Scalar Superfield Theories." In Differential Geometric Methods in Theoretical Physics, 681–88. Boston, MA: Springer US, 1990. http://dx.doi.org/10.1007/978-1-4684-9148-7_66.

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Howie, John, Steven Duplij, Ali Mostafazadeh, Masaki Yasue, Vladimir Ivashchuk, Steven Duplij, and Sergey Gukov. "Instanton." In Concise Encyclopedia of Supersymmetry, 203. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/1-4020-4522-0_266.

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Schimmrigk, Rolf, Steven Duplij, Antoine Van Proeyen, Władysław Marcinek, Gert Roepstorff, Władysław Marcinek, Władysław Marcinek, et al. "Gravitational Instanton." In Concise Encyclopedia of Supersymmetry, 175. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/1-4020-4522-0_231.

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Berman, David, Hugo Garcia-Compean, Paulius Miškinis, Miao Li, Daniele Oriti, Steven Duplij, Steven Duplij, et al. "Multi-Instanton." In Concise Encyclopedia of Supersymmetry, 253. Dordrecht: Springer Netherlands, 2004. http://dx.doi.org/10.1007/1-4020-4522-0_333.

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Krefl, Daniel, and Johannes Walcher. "B-Model Approach to Instanton Counting." In New Dualities of Supersymmetric Gauge Theories, 449–67. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18769-3_14.

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Tachikawa, Yuji. "A Review on Instanton Counting and W-Algebras." In New Dualities of Supersymmetric Gauge Theories, 79–120. Cham: Springer International Publishing, 2015. http://dx.doi.org/10.1007/978-3-319-18769-3_4.

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NOVIKOV, V. A., M. A. SHIFMAN, A. I. VAINSHTEIN, and V. I. ZAKHAROV. "SUPERSYMMETRIC INSTANTON CALCULUS: Gauge theories with matter." In Instantons in Gauge Theories, 311–35. WORLD SCIENTIFIC, 1994. http://dx.doi.org/10.1142/9789812794345_0037.

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FUCHS, Jürgen. "A SUPERSYMMETRIC INSTANTON CALCULUS FOR SU(N) GAUGE THEORIES." In Instantons in Gauge Theories, 350–65. WORLD SCIENTIFIC, 1994. http://dx.doi.org/10.1142/9789812794345_0039.

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Novikov, V. A. "Supersymmetric instanton calculus (gauge theories with matter fields in an arbitrary group)." In Instantons in Gauge Theories, 374–78. WORLD SCIENTIFIC, 1994. http://dx.doi.org/10.1142/9789812794345_0041.

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Di Ventra, Massimiliano. "Topological features of DMMs." In MemComputing, 224–57. Oxford University Press, 2022. http://dx.doi.org/10.1093/oso/9780192845320.003.0011.

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This Chapter shows that DMMs employ critical points and trajectories between them (instantons) to efficiently solve combinatorial optimization problems. It does so by introducing supersymmetric Topological Field Theory. It then shows that temporal and spatial dynamical long-range order emerges during the dynamics of DMMs. This is key for their efficient exploration of the phase space.

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Тези доповідей конференцій з теми "Supersymmetric instantons"

Ohta, Kazutoshi. "Supersymmetric D-brane bound states with B field and higher dimensional instantons on non-commutative geometry." In STRING THEORY; 10th Tohwa University International Symposium on String Theory. AIP, 2002. http://dx.doi.org/10.1063/1.1454399.

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Cvetič, M., I. García-Etxebarria, R. Richter, George Alverson, Pran Nath, and Brent Nelson. "Branes and instantons at angles and the F-theory lift of O(1) instantons." In SUSY09: 7th International Conference on Supersymmetry and the Unification of Fundamental Interactions. AIP, 2010. http://dx.doi.org/10.1063/1.3327564.

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Ito, Katsushi. "One-instanton Calculations in N = 2 Supersymmetric Gauge Theories." In Proceedings of the APCTP Winter School. WORLD SCIENTIFIC, 1998. http://dx.doi.org/10.1142/9789814447287_0009.

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Nakajima, Hiroaki, Katsushi Ito, Shin Sasaki, Pyungwon Ko, and Deog Ki Hong. "Instanton Effective Action in Deformed Super Yang-Mills Theories." In SUPERSYMMETRY AND THE UNIFICATION OF FUNDAMENTAL INTERACTIONS. AIP, 2008. http://dx.doi.org/10.1063/1.3051987.

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