Abstract
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.
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References
M. Roček, Linearizing the Volkov-Akulov Model, Phys. Rev. Lett. 41 (1978) 451 [INSPIRE].
E.A. Ivanov and A.A. Kapustnikov, General Relationship Between Linear and Nonlinear Realizations of Supersymmetry, J. Phys. A 11 (1978) 2375 [INSPIRE].
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].
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].
Z. Komargodski and N. Seiberg, From Linear SUSY to Constrained Superfields, JHEP 09 (2009) 066 [arXiv:0907.2441] [INSPIRE].
I. Antoniadis, E. Dudas, D.M. Ghilencea and P. Tziveloglou, Non-linear MSSM, Nucl. Phys. B 841 (2010) 157 [arXiv:1006.1662] [INSPIRE].
S.M. Kuzenko and S.J. Tyler, Complex linear superfield as a model for Goldstino, JHEP 04 (2011) 057 [arXiv:1102.3042] [INSPIRE].
S.M. Kuzenko and S.J. Tyler, On the Goldstino actions and their symmetries, JHEP 05 (2011) 055 [arXiv:1102.3043] [INSPIRE].
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].
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].
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].
F. Farakos, O. HulÍk, P. Kočí and R. von Unge, Non-minimal scalar multiplets, supersymmetry breaking and dualities, JHEP 09 (2015) 177 [arXiv:1507.01885] [INSPIRE].
U. Lindström and M. Roček, Constrained local superfields, Phys. Rev. D 19 (1979) 2300 [INSPIRE].
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].
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].
I. Antoniadis, E. Dudas, S. Ferrara and A. Sagnotti, The Volkov-Akulov-Starobinsky supergravity, Phys. Lett. B 733 (2014) 32 [arXiv:1403.3269] [INSPIRE].
S. Ferrara, R. Kallosh and A. Linde, Cosmology with Nilpotent Superfields, JHEP 10 (2014) 143 [arXiv:1408.4096] [INSPIRE].
R. Kallosh and A. Linde, Inflation and Uplifting with Nilpotent Superfields, JCAP 01 (2015) 025 [arXiv:1408.5950] [INSPIRE].
G. Dall’Agata and F. Zwirner, On sgoldstino-less supergravity models of inflation, JHEP 12 (2014) 172 [arXiv:1411.2605] [INSPIRE].
R. Kallosh, A. Linde and M. Scalisi, Inflation, de Sitter Landscape and Super-Higgs effect, JHEP 03 (2015) 111 [arXiv:1411.5671] [INSPIRE].
E. Dudas, S. Ferrara, A. Kehagias and A. Sagnotti, Properties of Nilpotent Supergravity, JHEP 09 (2015) 217 [arXiv:1507.07842] [INSPIRE].
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].
F. Hasegawa and Y. Yamada, Component action of nilpotent multiplet coupled to matter in 4 dimensional \( \mathcal{N}=1 \) supergravity, JHEP 10 (2015) 106 [arXiv:1507.08619] [INSPIRE].
S. Ferrara, M. Porrati and A. Sagnotti, Scale invariant Volkov-Akulov supergravity, Phys. Lett. B 749 (2015) 589 [arXiv:1508.02939] [INSPIRE].
S.M. Kuzenko, Complex linear Goldstino superfield and supergravity, JHEP 10 (2015) 006 [arXiv:1508.03190] [INSPIRE].
I. Antoniadis and C. Markou, The coupling of Non-linear Supersymmetry to Supergravity, Eur. Phys. J. C 75 (2015) 582 [arXiv:1508.06767] [INSPIRE].
R. Kallosh, Matter-coupled de Sitter Supergravity, arXiv:1509.02136 [INSPIRE].
R. Kallosh and T. Wrase, de Sitter Supergravity Model Building, Phys. Rev. D 92 (2015) 105010 [arXiv:1509.02137] [INSPIRE].
F. Hasegawa and Y. Yamada, de Sitter vacuum from R 2 supergravity, Phys. Rev. D 92 (2015) 105027 [arXiv:1509.04987] [INSPIRE].
G. Dall’Agata, S. Ferrara and F. Zwirner, Minimal scalar-less matter-coupled supergravity, Phys. Lett. B 752 (2016) 263 [arXiv:1509.06345] [INSPIRE].
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].
L. Álvarez-Gaumé, C. Gomez and R. Jimenez, Minimal Inflation, Phys. Lett. B 690 (2010) 68 [arXiv:1001.0010] [INSPIRE].
L. Álvarez-Gaumé, C. Gomez and R. Jimenez, A Minimal Inflation Scenario, JCAP 03 (2011) 027 [arXiv:1101.4948] [INSPIRE].
S. Ferrara and A. Sagnotti, Supersymmetry and Inflation, arXiv:1509.01500 [INSPIRE].
Y. Kahn, D.A. Roberts and J. Thaler, The goldstone and goldstino of supersymmetric inflation, JHEP 10 (2015) 001 [arXiv:1504.05958] [INSPIRE].
M. Schillo, E. van der Woerd and T. Wrase, The general de Sitter supergravity component action, arXiv:1511.01542 [INSPIRE].
S. Ferrara, R. Kallosh and J. Thaler, Cosmology with orthogonal nilpotent superfields, arXiv:1512.00545 [INSPIRE].
J.J.M. Carrasco, R. Kallosh and A. Linde, Inflatino-less Cosmology, arXiv:1512.00546 [INSPIRE].
E.A. Bergshoeff, K. Dasgupta, R. Kallosh, A. Van Proeyen and T. Wrase, \( \overline{\mathrm{D}3} \) and dS, JHEP 05 (2015) 058 [arXiv:1502.07627] [INSPIRE].
I. Bandos, L. Martucci, D. Sorokin and M. Tonin, Brane induced supersymmetry breaking and de Sitter supergravity, arXiv:1511.03024 [INSPIRE].
L. Aparicio, F. Quevedo and R. Valandro, Moduli Stabilisation with Nilpotent Goldstino: Vacuum Structure and SUSY Breaking, arXiv:1511.08105 [INSPIRE].
R. Kallosh, F. Quevedo and A.M. Uranga, String Theory Realizations of the Nilpotent Goldstino, JHEP 12 (2015) 039 [arXiv:1507.07556] [INSPIRE].
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].
A. Brignole, F. Feruglio and F. Zwirner, On the effective interactions of a light gravitino with matter fermions, JHEP 11 (1997) 001 [hep-th/9709111] [INSPIRE].
J. Wess and J. Bagger, Supersymmetry and supergravity, Princeton University Press, Princeton U.S.A., (1992).
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].
J. Bagger and A. Galperin, Matter couplings in partially broken extended supersymmetry, Phys. Lett. B 336 (1994) 25 [hep-th/9406217] [INSPIRE].
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].
I. Dalianis and F. Farakos, On the initial conditions for inflation with plateau potentials: the R+R 2 (super)gravity case, JCAP 07 (2015) 044 [arXiv:1502.01246] [INSPIRE].
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Dall’Agata, G., Farakos, F. Constrained superfields in supergravity. J. High Energ. Phys. 2016, 101 (2016). https://doi.org/10.1007/JHEP02(2016)101
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DOI: https://doi.org/10.1007/JHEP02(2016)101