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Journal articles on the topic 'Supersymmetry, superspace, supersymmetry breaking'

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Published: 9 March 2023

Last updated: 10 March 2023

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1

Ganai, Prince A., Owais Ahmad, Javier Perez Tobia, Alexander Fennell, and Vedaant Vyas. "Lorentz symmetry breaking in supersymmetric quantum electrodynamics." International Journal of Geometric Methods in Modern Physics 17, no. 03 (March 2020): 2050038. http://dx.doi.org/10.1142/s0219887820500383.

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Lorentz symmetry is one of the fundamental symmetries of nature; however, it can be broken by several proposals such as quantum gravity effects, low energy approximations in string theory and dark matter. In this paper, Lorentz symmetry is broken in supersymmetric quantum electrodynamics using aether superspace formalism without breaking any supersymmetry. To break the Lorentz symmetry in three-dimensional quantum electrodynamics, we must use the [Formula: see text] aether superspace. A new constant vector field is introduced and used to deform the deformed generator of supersymmetry. This formalism is required to fix the unphysical degrees of freedom that arise from the quantum gauge transformation required to quantize this theory. By using Yokoyama’s gaugeon formalism, it is possible to study these gaugeon transformations. As a result of the quantum gauge transformation, the supersymmetric algebra gets modified and the theory is invariant under BRST symmetry. These results could aid in the construction of the Gravity’s Rainbow theory and in the study of superconformal field theory. Furthermore, it is demonstrated that different gauges in this deformed supersymmetric quantum electrodynamics can be related to each other using the gaugeon formalism.

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2

GAIDA, INGO, and DIETER LÜST. "GAUGINO CONDENSATION IN THE CHIRAL AND LINEAR REPRESENTATIONS OF THE DILATON." International Journal of Modern Physics A 10, no. 19 (July 30, 1995): 2769–81. http://dx.doi.org/10.1142/s0217751x95001303.

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String effective theories with N=1 supersymmetry in four dimensions are the subject of this discussion. Gaugino condensation in the chiral representation of the dilaton is reviewed in the truncated formalism in the UK(1) superspace. By the use of the supersymmetric duality of the dilaton the same investigation is made in the linear representation of the dilaton. We show that for the simple case of one gaugino condensate the results concerning supersymmetry breaking are independent of the representation of the dilaton.

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3

KETOV, SERGEI V. "A MANIFESTLY N=2 SUPERSYMMETRIC BORN–INFELD ACTION." Modern Physics Letters A 14, no. 07 (March 7, 1999): 501–10. http://dx.doi.org/10.1142/s0217732399000559.

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A manifestly N=2 supersymmetric completion of the four-dimensional Nambu–Goto–Born–Infeld action, which is self-dual with respect to electric–magnetic duality, is constructed in terms of an Abelian N=2 superfield strength W in the conventional N=2 superspace. A relation to the known N=1 supersymmetric Born–Infeld action in N=1 superspace is established. The action found can be considered either as the Goldstone action associated with a partial breaking of N=4 supersymmetry down to N=2, with the N=2 vector superfield being a Goldstone field, or, equivalently, as the gauge-fixed superfield action of a (D-3)-brane in flat six-dimensional ambient space–time.

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4

FAIZAL, MIR. "CHERN–SIMONS-MATTER THEORY." International Journal of Modern Physics A 28, no. 05n06 (March 10, 2013): 1350012. http://dx.doi.org/10.1142/s0217751x13500127.

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In this paper, we will deform an ABJ theory in [Formula: see text] harmonic superspace without breaking any supersymmetry. We will analyze the ABJ theory and show that it retains the full [Formula: see text] supersymmetry. We will then analyze the gauge fixing and ghost terms for this model in various gauges. We will also analyze the corresponding BRST and anti-BRST symmetries of this model.

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5

IVANOV, E. A., and A. A. KAPUSTNIKOV. "GAUGE-COVARIANT WESS-ZUMINO ACTIONS FOR SUPER p-BRANES IN SUPERSPACE." International Journal of Modern Physics A 07, no. 10 (April 20, 1992): 2153–73. http://dx.doi.org/10.1142/s0217751x92000958.

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We present a general method of constructing manifestly world-volume supersymmetric actions of super p-branes, starting from some higher-dimensional field theories in which the partial breaking of global supersymmetry (PBGS) comes about. Our approach is based upon a substitution of the superspace coordinates which relates linear and nonlinear realizations of PBGS. As instructive examples we consider the massive d=2 superparticle (p=0) and d=4 superstring (p=1). The relevant world-line and world-sheet superfied actions naturally appear as a long-wavelength limit of the superfield actions of some two- and four-dimensional supersymmetric field theories possessing topologically nontrivial soliton solutions. The corresponding topological charges prove to enter the super p-brane actions as the coupling constants. We also give a new general Wess-Zumino-type representation of the d=2 superparticle action via the world-line superfields. It respects invariances both under the target space Poincaré supersymmetry and the gauge group of general reparametrizations of the world-line superspace. In one gauge, it is reduced to the standard PBGS form while in another, it gives rise to a very simple action which displays manifest world-line superconformal symmetry and is directly related to the familiar component action of the superparticle. The fermionic κ-symmetry of the latter can be identified with the odd sector of superconformal symmetry. This identity suggests a simple recipe for building higher-order κ-invariant corrections to the minimal superparticle action.

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6

Nagy, Silvia, Antonio Padilla, and Ivonne Zavala. "The Super-Stückelberg procedure and dS in pure supergravity." Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 476, no. 2237 (May 2020): 20200035. http://dx.doi.org/10.1098/rspa.2020.0035.

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Understanding de Sitter space in supergravity—and string theory—has led to an intense amount of work for more than two decades, largely motivated by the discovery of the accelerated expansion of the Universe in 1998. In this paper, we consider a non-trivial generalization of unimodular gravity to minimal N = 1 supergravity, which allows for de Sitter solutions without the need of introducing any matter. We formulate a superspace version of the Stückelberg procedure, which restores diffeomorphism and local supersymmetry invariance. This introduces the goldstino associated with spontaneous breaking of supersymmetry in a natural way. The cosmological constant and gravitino mass are related to the vacuum expectation value of the components of a Lagrange multiplier imposing a super-unimodularity condition.

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7

Fujiwara, K., H. Itoyama, and M. Sakaguchi. "Partial supersymmetry breaking and gauge model with hypermultiplets in harmonic superspace." Nuclear Physics B 740, no. 1-2 (April 2006): 58–78. http://dx.doi.org/10.1016/j.nuclphysb.2006.01.035.

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8

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.

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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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9

Ohta, Nobuyoshi. "Dipole mechanism of spontaneous breaking ofN=2 supersymmetry. II. Reformulation and generalization in harmonic superspace." Physical Review D 32, no. 6 (September 15, 1985): 1467–75. http://dx.doi.org/10.1103/physrevd.32.1467.

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10

Ogievetskii, V. I., and E. S. Sokachev. "Supersymmetry and superspace." Journal of Soviet Mathematics 36, no. 6 (March 1987): 721–44. http://dx.doi.org/10.1007/bf01085506.

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11

Dudas, Emilian. "Supersymmetry breaking." Pramana 72, no. 1 (January 2009): 131–41. http://dx.doi.org/10.1007/s12043-009-0011-1.

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12

Bajc, B. "Supersymmetry breaking." Fortschritte der Physik 56, no. 4-5 (April 18, 2008): 335–42. http://dx.doi.org/10.1002/prop.200710504.

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13

Dine, Michael, and Douglas A. MacIntire. "Supersymmetry, naturalness, and dynamical supersymmetry breaking." Physical Review D 46, no. 6 (September 15, 1992): 2594–601. http://dx.doi.org/10.1103/physrevd.46.2594.

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14

McKEON, D. G. C. "SUPERSYMMETRY ON THE SURFACE S2." Modern Physics Letters A 17, no. 39 (December 21, 2002): 2545–52. http://dx.doi.org/10.1142/s0217732302009374.

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By using symplectic Majorana spinors as Grassmann coordinates in a superspace associated with the supersymmetric extension of the isometry group on the spherical surface S2, it proves possible to formulate supersymmetric models on S2 using superspace techniques.

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15

D'Eath, P. D., and D. I. Hughes. "Mini-superspace with local supersymmetry." Nuclear Physics B 378, no. 1-2 (July 1992): 381–409. http://dx.doi.org/10.1016/0550-3213(92)90013-2.

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16

Altendorfer, Richard, and Jonathan Bagger. "Dual supersymmetry algebras from partial supersymmetry breaking." Physics Letters B 460, no. 1-2 (August 1999): 127–34. http://dx.doi.org/10.1016/s0370-2693(99)00756-x.

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17

DORAN, C. F., M. G. FAUX, S. J. GATES, T. HÜBSCH, K. M. IGA, and G. D. LANDWEBER. "FRAMES FOR SUPERSYMMETRY." International Journal of Modern Physics A 24, no. 14 (June 10, 2009): 2665–76. http://dx.doi.org/10.1142/s0217751x09044644.

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We explain how the redefinitions of supermultiplet component fields, comprising what we call "frame shifts," can be used in conjuction with the graphical technology of multiplet Adkinras to render manifest the reducibility of off-shell representations of supersymmetry. This technology speaks to possibility of organizing multiplet constraints in a way which complements and extends the possibilities afforded by superspace methods.

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18

Poppitz, Erich, and Sandip P. Trivedi. "DYNAMICAL SUPERSYMMETRY BREAKING." Annual Review of Nuclear and Particle Science 48, no. 1 (December 1998): 307–50. http://dx.doi.org/10.1146/annurev.nucl.48.1.307.

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19

Shadmi, Yael, and Yuri Shirman. "Dynamical supersymmetry breaking." Reviews of Modern Physics 72, no. 1 (January 1, 2000): 25–64. http://dx.doi.org/10.1103/revmodphys.72.25.

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20

Izawa, Ken-iti, Taichiro Kugo, and Tsutomu T. Yanagida. "Gravitational Supersymmetry Breaking." Progress of Theoretical Physics 125, no. 2 (February 2011): 261–64. http://dx.doi.org/10.1143/ptp.125.261.

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21

Burgess, C. P., P. G. Cámara, S. P. de Alwis, S. B. Giddings, A. Maharana, F. Quevedo, and K. Suruliz. "Warped supersymmetry breaking." Journal of High Energy Physics 2008, no. 04 (April 14, 2008): 053. http://dx.doi.org/10.1088/1126-6708/2008/04/053.

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22

Skiba, Witold. "Dynamical Supersymmetry Breaking." Modern Physics Letters A 12, no. 11 (April 10, 1997): 737–50. http://dx.doi.org/10.1142/s0217732397000777.

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We review mechanisms of dynamical supersymmetry breaking. Several observations that narrow the search for possible models of dynamical supersymmetry breaking are summarized. These observations include the necessary and sufficient conditions for supersymmetry breaking. The two conditions are based on non-rigorous arguments, and we show examples where they are too restrictive. Dynamical effects present in models with product gauge groups are given special attention.

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23

Antoniadis, I., E. Dudas, and A. Sagnotti. "Brane supersymmetry breaking." Physics Letters B 464, no. 1-2 (October 1999): 38–45. http://dx.doi.org/10.1016/s0370-2693(99)01023-0.

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24

Nelson, Ann E. "Dynamical supersymmetry breaking." Nuclear Physics B - Proceedings Supplements 62, no. 1-3 (March 1998): 261–65. http://dx.doi.org/10.1016/s0920-5632(97)00666-x.

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25

Halyo, Valerie, and Edi Halyo. "Dilaton supersymmetry breaking." Physics Letters B 382, no. 1-2 (August 1996): 89–94. http://dx.doi.org/10.1016/0370-2693(96)00660-0.

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26

Ihl, Matthias, and Christian Sämann. "Twisted Supersymmetry and Non-Anticommutative Superspace." Journal of High Energy Physics 2006, no. 01 (January 13, 2006): 065. http://dx.doi.org/10.1088/1126-6708/2006/01/065.

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27

Arkani-Hamed, Nima, Thomas Gregoire, and Jay Wacker. "Higher dimensional supersymmetry in 4D superspace." Journal of High Energy Physics 2002, no. 03 (March 27, 2002): 055. http://dx.doi.org/10.1088/1126-6708/2002/03/055.

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28

Brooks, Roger, Fuad Muhammad, and S. J. Gates. "Unidexterous D = 2 supersymmetry in superspace." Nuclear Physics B 268, no. 3-4 (May 1986): 599–620. http://dx.doi.org/10.1016/0550-3213(86)90261-0.

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29

Pokorski, Stefan. "Electroweak breaking and supersymmetry breaking." Pramana 62, no. 2 (February 2004): 369–74. http://dx.doi.org/10.1007/bf02705095.

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30

Antoniadis, Ignatios. "Inflation from Supersymmetry Breaking." Universe 5, no. 1 (January 16, 2019): 30. http://dx.doi.org/10.3390/universe5010030.

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I discuss the possibility that inflation is driven by supersymmetry breaking, with the superpartner of the goldstino (sgoldstino) playing the role of the inflaton. Imposing an R-symmetry to satisfy the slow-roll conditions, avoiding the so-called η -problem, leads to an interesting class of small field inflation models, characterised by an inflationary plateau around the maximum of scalar potential near the origin, where R-symmetry is restored with the inflaton rolling down to a minimum, describing the present phase of the Universe. Inflation can be driven by either an F- or a D-term, while the minimum has a positive tuneable vacuum energy. The models agree with cosmological observations and, in the simplest case, predict a rather small tensor-to-scalar ratio of primordial perturbations. This talk is an extended version of an earlier review (Antoniadis, 2018).

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31

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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32

Intriligator, Kenneth, and Nathan Seiberg. "Lectures on supersymmetry breaking." Classical and Quantum Gravity 24, no. 21 (October 15, 2007): S741—S772. http://dx.doi.org/10.1088/0264-9381/24/21/s02.

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33

Antoniadis, Ignatios. "Inflation from supersymmetry breaking." International Journal of Modern Physics A 33, no. 31 (November 10, 2018): 1844021. http://dx.doi.org/10.1142/s0217751x18440219.

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I discuss a general class of models where the inflation is driven by supersymmetry breaking with the superpartner of the goldstino (sgoldstino) playing the role of the inflaton. Imposing an R-symmetry allows to satisfy easily the slow-roll conditions, avoiding the so-called [Formula: see text]-problem, and leads to two different classes of small field inflation models; they are characterized by an inflationary plateau around the maximum of the scalar potential, where R-symmetry is either restored or spontaneously broken, with the inflaton rolling down to a minimum describing the present phase of our Universe. Inflation can be driven by either an F- or a D-term, while the minimum has a positive tunable vacuum energy. The models agree with cosmological observations and in the simplest case predict a tensor-to-scalar ratio of primordial perturbations [Formula: see text] and an inflation scale [Formula: see text].

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34

Delduc, F., and G. M. Shore. "Anomalies and supersymmetry breaking." Journal of Physics A: Mathematical and General 21, no. 23 (December 7, 1988): 4455–61. http://dx.doi.org/10.1088/0305-4470/21/23/025.

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35

Chacko, Zacharia, Markus A. Luty, Ann E. Nelson, and Eduardo Pontón. "Gaugino mediated supersymmetry breaking." Journal of High Energy Physics 2000, no. 01 (January 7, 2000): 003. http://dx.doi.org/10.1088/1126-6708/2000/01/003.

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36

Chacko, Zacharia, and Markus A. Luty. "Radion mediated supersymmetry breaking." Journal of High Energy Physics 2001, no. 05 (May 31, 2001): 067. http://dx.doi.org/10.1088/1126-6708/2001/05/067.

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37

Bagger, Jonathan, Ferruccio Feruglio, and Fabio Zwirner. "Brane-induced supersymmetry breaking." Journal of High Energy Physics 2002, no. 02 (February 10, 2002): 010. http://dx.doi.org/10.1088/1126-6708/2002/02/010.

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38

Lawrence, Albion, Tobias Sander, Michael B. Schulz, and Brian Wecht. "Torsion and supersymmetry breaking." Journal of High Energy Physics 2008, no. 07 (July 8, 2008): 042. http://dx.doi.org/10.1088/1126-6708/2008/07/042.

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39

BANKS, T. "COSMOLOGICAL BREAKING OF SUPERSYMMETRY?" International Journal of Modern Physics A 16, no. 05 (February 20, 2001): 910–21. http://dx.doi.org/10.1142/s0217751x01003998.

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This is the text of my talk at the Strings 2000 Conference at the University of Michigan. It consists of three interlocking conjectures about the nature of SUSY breaking and the Cosmological Constant, as well as evidence from a toy model that demonstrates the validity of the claim that systems with a UV/IR connection can exhibit much larger SUSY breaking than local field theory.

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40

Komargodski, Zohar. "Supersymmetry Breaking in SQCD." Nuclear Physics B - Proceedings Supplements 192-193 (July 2009): 156–57. http://dx.doi.org/10.1016/j.nuclphysbps.2009.07.064.

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41

King, S. F., and D. A. J. Rayner. "Brane mediated supersymmetry breaking." Nuclear Physics B 607, no. 1-2 (July 2001): 77–98. http://dx.doi.org/10.1016/s0550-3213(01)00220-6.

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42

Chacko, Z., Patrick J. Fox, and Hitoshi Murayama. "Localized supersoft supersymmetry breaking." Nuclear Physics B 706, no. 1-2 (January 2005): 53–70. http://dx.doi.org/10.1016/j.nuclphysb.2004.11.021.

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43

Csáki, Csaba, Lisa Randall, and Witold Skiba. "More dynamical supersymmetry breaking." Nuclear Physics B 479, no. 1-2 (November 1996): 65–81. http://dx.doi.org/10.1016/0550-3213(96)00440-3.

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44

Buchmüller, Wilfried, Laura Covi, and David Delépine. "Inflation and supersymmetry breaking." Physics Letters B 491, no. 1-2 (October 2000): 183–89. http://dx.doi.org/10.1016/s0370-2693(00)01005-4.

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45

Kabat, Daniel, and Arvind Rajaraman. "Testing cosmological supersymmetry breaking." Physics Letters B 516, no. 3-4 (September 2001): 383–87. http://dx.doi.org/10.1016/s0370-2693(01)00935-2.

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46

Dine, Michael, Alex Kagan, and Stuart Samuel. "Naturalness in supersymmetry, or raising the supersymmetry breaking scale." Physics Letters B 243, no. 3 (June 1990): 250–56. http://dx.doi.org/10.1016/0370-2693(90)90847-y.

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47

KUZENKO, SERGEI M. "PROJECTIVE SUPERSPACE AS A DOUBLE-PUNCTURED HARMONIC SUPERSPACE." International Journal of Modern Physics A 14, no. 11 (April 30, 1999): 1737–57. http://dx.doi.org/10.1142/s0217751x99000889.

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We analyze the relationship between the N=2 harmonic and projective superspaces, which are the only approaches developed to describe general N=2 super-Yang–Mills theories in terms of off-shell supermultiplets with conventional supersymmetry. The structure of low energy hypermultiplet effective action is briefly discussed.

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48

AHMED, E. "ON ANYONIC VARIABLES AND FRACTIONAL SUPERSYMMETRY." Modern Physics Letters A 11, no. 23 (July 30, 1996): 1843–45. http://dx.doi.org/10.1142/s0217732396001831.

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A modified definition for anyonic variables is given. They are used to construct a representation for superspace of fractional supersymmetry in two dimensions. An extension to higher dimensions is presented.

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49

Ahmed, E. "On Anyonic Variables and Fractional Supersymmetry." Zeitschrift für Naturforschung A 51, no. 4 (April 1, 1996): 313–14. http://dx.doi.org/10.1515/zna-1996-0411.

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Abstract A modified definition for anyonic variables is given. They are used to construct a representation for superspace of fractional supersymmetry in two dimensions. An extension to higher dimension is presented.

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50

Dunne, R. S., A. J. Macfarlane, J. A. de Azcárraga, and J. C. Pérez Bueno. "Geometrical Foundations of Fractional Supersymmetry." International Journal of Modern Physics A 12, no. 19 (July 30, 1997): 3275–305. http://dx.doi.org/10.1142/s0217751x97001729.

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A deformed q-calculus is developed on the basis of an algebraic structure involving graded brackets. A number operator and left and right shift operators are constructed for this algebra, and the whole structure is related to the algebra of a q-deformed boson. The limit of this algebra when q is an nth root of unity is also studied in detail. By means of a chain rule expansion, the left and right derivatives are identified with the charge Q and covariant derivative D encountered in ordinary/fractional supersymmetry, and this leads to new results for these operators. A generalized Berezin integral and fractional superspace measure arise as a natural part of our formalism. When q is a root of unity the algebra is found to have a nontrivial Hopf structure, extending that associated with the anyonic line. One-dimensional ordinary/fractional superspace is identified with the braided line when q is a root of unity, so that one-dimensional ordinary/fractional supersymmetry can be viewed as invariance under translation along this line. In our construction of fractional supersymmetry the q-deformed bosons play a role exactly analogous to that of the fermions in the familiar supersymmetric case.

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