Abstract
Based on the connection between partial breaking of global supersymmetry, coset approach, which realized the given pattern of supersymmetry breaking, and the Nambu-Goto actions for the extended objects, we have constructed on-shell component action for N = 1, D = 5 supermembrane and its dual cousins. We demonstrate that the proper choice of the components and the use of the covariant (with respect to broken supersymmetry) derivatives drastically simplify the action: it can be represented as a sum of four terms each having an explicit geometric meaning.
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References
S.R. Coleman, J. Wess and B. Zumino, Structure of phenomenological Lagrangians. 1, Phys. Rev. 177 (1969) 2239 [INSPIRE].
C.G. Callan Jr., S.R. Coleman, J. Wess and B. Zumino, Structure of phenomenological Lagrangians. 2, Phys. Rev. 177 (1969) 2247 [INSPIRE].
D.V. Volkov, Phenomenological Lagrangians, Sov. J. Part. Nucl. 4 (1973) 3 [INSPIRE].
V.I. Ogievetsky, Nonlinear realizations of internal and space-time symmetries, in Proceedings of the X th Winter School of Theoretical Physics in Karpacz, volume 1, (1974), pg. 117.
J. Bagger and J. Wess, Partial breaking of extended supersymmetry, Phys. Lett. B 138 (1984) 105 [INSPIRE].
J. Hughes and J. Polchinski, Partially broken global supersymmetry and the superstring, Nucl. Phys. B 278 (1986) 147 [INSPIRE].
J. Hughes, J. Liu and J. Polchinski, Supermembranes, Phys. Lett. B 180 (1986) 370 [INSPIRE].
A. Achucarro, J.P. Gauntlett, K. Itoh and P.K. Townsend, World volume supersymmetry from space-time supersymmetry of the four-dimensional supermembrane, Nucl. Phys. B 314 (1989) 129 [INSPIRE].
J. Bagger and A. Galperin, Matter couplings in partially broken extended supersymmetry, Phys. Lett. B 336 (1994) 25 [hep-th/9406217] [INSPIRE].
J. Bagger and A. Galperin, A new Goldstone multiplet for partially broken supersymmetry, Phys. Rev. D 55 (1997) 1091 [hep-th/9608177] [INSPIRE].
J. Bagger and A. Galperin, The tensor Goldstone multiplet for partially broken supersymmetry, Phys. Lett. B 412 (1997) 296 [hep-th/9707061] [INSPIRE].
M. Roček and A.A. Tseytlin, Partial breaking of global D = 4 supersymmetry, constrained superfields and three-brane actions, Phys. Rev. D 59 (1999) 106001 [hep-th/9811232] [INSPIRE].
T. Adawi, M. Cederwall, U. Gran, M. Holm and B.E.W. Nilsson, Superembeddings, nonlinear supersymmetry and five-branes, Int. J. Mod. Phys. A 13 (1998) 4691 [hep-th/9711203] [INSPIRE].
F. Gonzalez-Rey, I.Y. Park and M. Roček, On dual 3-brane actions with partially broken N =2 supersymmetry, Nucl. Phys. B 544 (1999) 243 [hep-th/9811130] [INSPIRE].
S. Bellucci, E. Ivanov and S. Krivonos, Superbranes and super-Born-Infeld theories from nonlinear realizations, Nucl. Phys. Proc. Suppl. 102 (2001) 26 [hep-th/0103136] [INSPIRE].
E. Ivanov and S. Krivonos, N = 1 D = 4 supermembrane in the coset approach, Phys. Lett. B 453 (1999) 237 [Erratum ibid. B 657 (2007) 269] [hep-th/9901003] [INSPIRE].
J. Gomis, K. Kamimura and P.C. West, The construction of brane and superbrane actions using non-linear realisations, Class. Quant. Grav. 23 (2006) 7369 [hep-th/0607057] [INSPIRE].
P.C. West, Automorphisms, nonlinear realizations and branes, JHEP 02 (2000) 024 [hep-th/0001216] [INSPIRE].
P.C. West, Brane dynamics, central charges and E 11, JHEP 03 (2005) 077 [hep-th/0412336] [INSPIRE].
J. Gomis, K. Kamimura and P.C. West, Diffeomorphism, kappa transformations and the theory of non-linear realisations, JHEP 10 (2006) 015 [hep-th/0607104] [INSPIRE].
J. Gomis, K. Kamimura and P.C. West, Non-linear realizations, super branes and kappa symmetry, Fortsch. Phys. 55 (2007) 731 [INSPIRE].
S. Bellucci, E. Ivanov and S. Krivonos, N = 2 and N = 4 supersymmetric Born-Infeld theories from nonlinear realizations, Phys. Lett. B 502 (2001) 279 [hep-th/0012236] [INSPIRE].
S. Bellucci, E. Ivanov and S. Krivonos, Towards the complete N = 2 superfield Born-Infeld action with partially broken N = 4 supersymmetry, Phys. Rev. D 64 (2001) 025014 [hep-th/0101195] [INSPIRE].
S. Bellucci, E. Ivanov and S. Krivonos, Partial breaking of N = 1 D = 10 supersymmetry, Phys. Lett. B 460 (1999) 348 [hep-th/9811244] [INSPIRE].
S. Bellucci, S. Krivonos and A. Sutulin, Supersymmetric component actions via coset approach, Phys. Lett. B 726 (2013) 497 [arXiv:1306.1115] [INSPIRE].
D.V. Volkov and V.P. Akulov, Possible universal neutrino interaction, JETP Lett. 16 (1972) 438 [Pisma Zh. Eksp. Teor. Fiz. 16 (1972) 621] [INSPIRE].
D.V. Volkov and V.P. Akulov, Is the neutrino a Goldstone particle?, Phys. Lett. B 46 (1973) 109 [INSPIRE].
M. Henneaux and L. Mezincescu, A σ-model interpretation of Green-Schwarz covariant superstring action, Phys. Lett. B 152 (1985) 340 [INSPIRE].
E.A. Ivanov and V.I. Ogievetsky, The inverse Higgs phenomenon in nonlinear realizations, Teor. Mat. Fiz. 25 (1975) 164 [INSPIRE].
D.P. Sorokin, Superbranes and superembeddings, Phys. Rept. 329 (2000) 1 [hep-th/9906142] [INSPIRE].
S. Bellucci, N. Kozyrev, S. Krivonos and A. Sutulin, Partial breaking of global supersymmetry and super particle actions, JHEP 01 (2014) 154 [arXiv:1309.3902] [INSPIRE].
E. Ivanov, S. Krivonos and O. Lechtenfeld, Double vector multiplet and partially broken N =4, D = 3 supersymmetry, Phys. Lett. B 487 (2000) 192 [hep-th/0006017] [INSPIRE].
E. Bergshoeff, F. Coomans, R. Kallosh, C.S. Shahbazi and A. Van Proeyen, Dirac-Born-Infeld-Volkov-Akulov and deformation of supersymmetry, JHEP 08 (2013) 100 [arXiv:1303.5662] [INSPIRE].
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ArXiv ePrint: 1312.0231
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Bellucci, S., Kozyrev, N., Krivonos, S. et al. Supermembrane in D = 5: component action. J. High Energ. Phys. 2014, 142 (2014). https://doi.org/10.1007/JHEP05(2014)142
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DOI: https://doi.org/10.1007/JHEP05(2014)142