×

Constrained superfields in supergravity. (English) Zbl 1388.83783

Summary: We analyze constrained superfields in supergravity. We investigate the consistency and solve all known constraints, presenting a new class that may have interesting applications in the construction of inflationary models. We provide the superspace Lagrangians for minimal supergravity models based on them and write the corresponding theories in component form using a simplifying gauge for the goldstino couplings.

MSC:

83E50 Supergravity

References:

[1] M. Roček, Linearizing the Volkov-Akulov Model, Phys. Rev. Lett.41 (1978) 451 [INSPIRE]. · doi:10.1103/PhysRevLett.41.451
[2] E.A. Ivanov and A.A. Kapustnikov, General Relationship Between Linear and Nonlinear Realizations of Supersymmetry, J. Phys.A 11 (1978) 2375 [INSPIRE].
[3] E.A. Ivanov and A.A. Kapustnikov, The non-linear realization structure of models with spontaneously broken supersymmetry, J. Phys.G 8 (1982) 167 [INSPIRE]. · doi:10.1088/0305-4616/8/2/004
[4] R. Casalbuoni, S. De Curtis, D. Dominici, F. Feruglio and R. Gatto, Nonlinear Realization of Supersymmetry Algebra From Supersymmetric Constraint, Phys. Lett.B 220 (1989) 569 [INSPIRE]. · doi:10.1016/0370-2693(89)90788-0
[5] Z. Komargodski and N. Seiberg, From Linear SUSY to Constrained Superfields, JHEP09 (2009) 066 [arXiv:0907.2441] [INSPIRE]. · doi:10.1088/1126-6708/2009/09/066
[6] I. Antoniadis, E. Dudas, D.M. Ghilencea and P. Tziveloglou, Non-linear MSSM, Nucl. Phys.B 841 (2010) 157 [arXiv:1006.1662] [INSPIRE]. · Zbl 1207.81178 · doi:10.1016/j.nuclphysb.2010.08.002
[7] S.M. Kuzenko and S.J. Tyler, Complex linear superfield as a model for Goldstino, JHEP04 (2011) 057 [arXiv:1102.3042] [INSPIRE]. · Zbl 1390.83410 · doi:10.1007/JHEP04(2011)057
[8] S.M. Kuzenko and S.J. Tyler, On the Goldstino actions and their symmetries, JHEP05 (2011) 055 [arXiv:1102.3043] [INSPIRE]. · Zbl 1296.81049 · doi:10.1007/JHEP05(2011)055
[9] E. Dudas, G. von Gersdorff, D.M. Ghilencea, S. Lavignac and J. Parmentier, On non-universal Goldstino couplings to matter, Nucl. Phys.B 855 (2012) 570 [arXiv:1106.5792] [INSPIRE]. · Zbl 1229.81328 · doi:10.1016/j.nuclphysb.2011.10.011
[10] I. Antoniadis, E. Dudas and D.M. Ghilencea, Goldstino and sgoldstino in microscopic models and the constrained superfields formalism, Nucl. Phys.B 857 (2012) 65 [arXiv:1110.5939] [INSPIRE]. · Zbl 1246.81348 · doi:10.1016/j.nuclphysb.2011.12.005
[11] E. Dudas, C. Petersson and P. Tziveloglou, Low Scale Supersymmetry Breaking and its LHC Signatures, Nucl. Phys.B 870 (2013) 353 [arXiv:1211.5609] [INSPIRE]. · Zbl 1262.81229 · doi:10.1016/j.nuclphysb.2013.02.001
[12] F. Farakos, O. HulÍk, P. Kočí and R. von Unge, Non-minimal scalar multiplets, supersymmetry breaking and dualities, JHEP09 (2015) 177 [arXiv:1507.01885] [INSPIRE]. · Zbl 1388.81809 · doi:10.1007/JHEP09(2015)177
[13] U. Lindström and M. Roček, Constrained local superfields, Phys. Rev.D 19 (1979) 2300 [INSPIRE].
[14] S. Samuel and J. Wess, A Superfield Formulation of the Nonlinear Realization of Supersymmetry and Its Coupling to Supergravity, Nucl. Phys.B 221 (1983) 153 [INSPIRE]. · doi:10.1016/0550-3213(83)90622-3
[15] F. Farakos and A. Kehagias, Decoupling Limits of sGoldstino Modes in Global and Local Supersymmetry, Phys. Lett.B 724 (2013) 322 [arXiv:1302.0866] [INSPIRE]. · Zbl 1331.83106 · doi:10.1016/j.physletb.2013.06.001
[16] I. Antoniadis, E. Dudas, S. Ferrara and A. Sagnotti, The Volkov-Akulov-Starobinsky supergravity, Phys. Lett.B 733 (2014) 32 [arXiv:1403.3269] [INSPIRE]. · Zbl 1370.83099 · doi:10.1016/j.physletb.2014.04.015
[17] S. Ferrara, R. Kallosh and A. Linde, Cosmology with Nilpotent Superfields, JHEP10 (2014) 143 [arXiv:1408.4096] [INSPIRE]. · Zbl 1333.83268 · doi:10.1007/JHEP10(2014)143
[18] R. Kallosh and A. Linde, Inflation and Uplifting with Nilpotent Superfields, JCAP01 (2015) 025 [arXiv:1408.5950] [INSPIRE]. · doi:10.1088/1475-7516/2015/01/025
[19] G. Dall’Agata and F. Zwirner, On sgoldstino-less supergravity models of inflation, JHEP12 (2014) 172 [arXiv:1411.2605] [INSPIRE]. · Zbl 1333.83227 · doi:10.1007/JHEP12(2014)172
[20] R. Kallosh, A. Linde and M. Scalisi, Inflation, de Sitter Landscape and Super-Higgs effect, JHEP03 (2015) 111 [arXiv:1411.5671] [INSPIRE]. · Zbl 1388.83834 · doi:10.1007/JHEP03(2015)111
[21] E. Dudas, S. Ferrara, A. Kehagias and A. Sagnotti, Properties of Nilpotent Supergravity, JHEP09 (2015) 217 [arXiv:1507.07842] [INSPIRE]. · Zbl 1388.83793 · doi:10.1007/JHEP09(2015)217
[22] E.A. Bergshoeff, D.Z. Freedman, R. Kallosh and A. Van Proeyen, Pure de Sitter Supergravity, Phys. Rev.D 92 (2015) 085040 [arXiv:1507.08264] [INSPIRE].
[23] F. Hasegawa and Y. Yamada, Component action of nilpotent multiplet coupled to matter in \[4 dimensionalN=1 \mathcal{N}=1\] supergravity, JHEP10 (2015) 106 [arXiv:1507.08619] [INSPIRE]. · Zbl 1388.83818 · doi:10.1007/JHEP10(2015)106
[24] S. Ferrara, M. Porrati and A. Sagnotti, Scale invariant Volkov-Akulov supergravity, Phys. Lett.B 749 (2015) 589 [arXiv:1508.02939] [INSPIRE]. · Zbl 1364.83060 · doi:10.1016/j.physletb.2015.08.066
[25] S.M. Kuzenko, Complex linear Goldstino superfield and supergravity, JHEP10 (2015) 006 [arXiv:1508.03190] [INSPIRE]. · Zbl 1388.83848 · doi:10.1007/JHEP10(2015)006
[26] I. Antoniadis and C. Markou, The coupling of Non-linear Supersymmetry to Supergravity, Eur. Phys. J.C 75 (2015) 582 [arXiv:1508.06767] [INSPIRE]. · doi:10.1140/epjc/s10052-015-3783-0
[27] R. Kallosh, Matter-coupled de Sitter Supergravity, arXiv:1509.02136 [INSPIRE]. · Zbl 1346.83062
[28] R. Kallosh and T. Wrase, de Sitter Supergravity Model Building, Phys. Rev.D 92 (2015) 105010 [arXiv:1509.02137] [INSPIRE].
[29] F. Hasegawa and Y. Yamada, de Sitter vacuum from R2supergravity, Phys. Rev.D 92 (2015) 105027 [arXiv:1509.04987] [INSPIRE].
[30] G. Dall’Agata, S. Ferrara and F. Zwirner, Minimal scalar-less matter-coupled supergravity, Phys. Lett.B 752 (2016) 263 [arXiv:1509.06345] [INSPIRE]. · doi:10.1016/j.physletb.2015.11.066
[31] R. Kallosh, A. Karlsson and D. Murli, From linear to nonlinear supersymmetry via functional integration, Phys. Rev.D 93 (2016) 025012 [arXiv:1511.07547] [INSPIRE].
[32] L. Álvarez-Gaumé, C. Gomez and R. Jimenez, Minimal Inflation, Phys. Lett.B 690 (2010) 68 [arXiv:1001.0010] [INSPIRE]. · doi:10.1016/j.physletb.2010.04.069
[33] L. Álvarez-Gaumé, C. Gomez and R. Jimenez, A Minimal Inflation Scenario, JCAP03 (2011) 027 [arXiv:1101.4948] [INSPIRE]. · doi:10.1088/1475-7516/2011/03/027
[34] S. Ferrara and A. Sagnotti, Supersymmetry and Inflation, arXiv:1509.01500 [INSPIRE]. · Zbl 1337.81069
[35] Y. Kahn, D.A. Roberts and J. Thaler, The goldstone and goldstino of supersymmetric inflation, JHEP10 (2015) 001 [arXiv:1504.05958] [INSPIRE]. · Zbl 1388.83925 · doi:10.1007/JHEP10(2015)001
[36] M. Schillo, E. van der Woerd and T. Wrase, The general de Sitter supergravity component action, arXiv:1511.01542 [INSPIRE]. · Zbl 1339.83075
[37] S. Ferrara, R. Kallosh and J. Thaler, Cosmology with orthogonal nilpotent superfields, arXiv:1512.00545 [INSPIRE]. · Zbl 1333.83268
[38] J.J.M. Carrasco, R. Kallosh and A. Linde, Inflatino-less Cosmology, arXiv:1512.00546 [INSPIRE].
[39] E.A. Bergshoeff, K. Dasgupta, R. Kallosh, A. Van Proeyen and T. Wrase, D3¯\[ \overline{\text{D}3}\] and dS, JHEP05 (2015) 058 [arXiv:1502.07627] [INSPIRE]. · doi:10.1007/JHEP05(2015)058
[40] I. Bandos, L. Martucci, D. Sorokin and M. Tonin, Brane induced supersymmetry breaking and de Sitter supergravity, arXiv:1511.03024 [INSPIRE]. · Zbl 1388.83729
[41] L. Aparicio, F. Quevedo and R. Valandro, Moduli Stabilisation with Nilpotent Goldstino: Vacuum Structure and SUSY Breaking, arXiv:1511.08105 [INSPIRE].
[42] R. Kallosh, F. Quevedo and A.M. Uranga, String Theory Realizations of the Nilpotent Goldstino, JHEP12 (2015) 039 [arXiv:1507.07556] [INSPIRE]. · Zbl 1388.81556 · doi:10.1007/JHEP12(2015)039
[43] A. Brignole, F. Feruglio and F. Zwirner, Four-fermion interactions and sgoldstino masses in models with a superlight gravitino, Phys. Lett.B 438 (1998) 89 [hep-ph/9805282] [INSPIRE]. · doi:10.1016/S0370-2693(98)00974-5
[44] A. Brignole, F. Feruglio and F. Zwirner, On the effective interactions of a light gravitino with matter fermions, JHEP11 (1997) 001 [hep-th/9709111] [INSPIRE]. · Zbl 0949.81511 · doi:10.1088/1126-6708/1997/11/001
[45] J. Wess and J. Bagger, Supersymmetry and supergravity, Princeton University Press, Princeton U.S.A., (1992).
[46] 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].
[47] J. Bagger and A. Galperin, Matter couplings in partially broken extended supersymmetry, Phys. Lett.B 336 (1994) 25 [hep-th/9406217] [INSPIRE]. · doi:10.1016/0370-2693(94)00977-5
[48] I. Antoniadis, J.P. Derendinger and T. Maillard, Nonlinear N = 2 Supersymmetry, Effective Actions and Moduli Stabilization, Nucl. Phys.B 808 (2009) 53 [arXiv:0804.1738] [INSPIRE]. · Zbl 1192.81252 · doi:10.1016/j.nuclphysb.2008.09.008
[49] I. Dalianis and F. Farakos, On the initial conditions for inflation with plateau potentials: the R+R2(super)gravity case, JCAP07 (2015) 044 [arXiv:1502.01246] [INSPIRE]. · doi:10.1088/1475-7516/2015/07/044
This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. In some cases that data have been complemented/enhanced by data from zbMATH Open. This attempts to reflect the references listed in the original paper as accurately as possible without claiming completeness or a perfect matching.