Abstract
We construct the component action of the system including an ordinary matter and a nilpotent multiplet in global and local supersymmetric framework. The higher dimensional operators of not only Goldstino but also matter and gravitino fields are shown, which appear due to nonlinearly realized supersymmetry.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
D.V. Volkov and V.P. Akulov, Is the Neutrino a Goldstone Particle?, Phys. Lett. B 46 (1973) 109 [INSPIRE].
E.A. Ivanov and A.A. Kapustnikov, General Relationship Between Linear and Nonlinear Realizations of Supersymmetry, J. Phys. A 11 (1978) 2375 [INSPIRE].
M. Roček, Linearizing the Volkov-Akulov Model, Phys. Rev. Lett. 41 (1978) 451 [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].
S. Aoki and Y. Yamada, Inflation in supergravity without Kähler potential, Phys. Rev. D 90 (2014) 127701 [arXiv:1409.4183] [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].
R. Kallosh and A. Linde, Planck, LHC and α-attractors, Phys. Rev. D 91 (2015) 083528 [arXiv:1502.07733] [INSPIRE].
M. Scalisi, Cosmological α-Attractors and de Sitter Landscape, arXiv:1506.01368 [INSPIRE].
J.J.M. Carrasco, R. Kallosh and A. Linde, α-Attractors: Planck, LHC and Dark Energy, arXiv:1506.01708 [INSPIRE].
K. Choi, A. Falkowski, H.P. Nilles and M. Olechowski, Soft supersymmetry breaking in KKLT flux compactification, Nucl. Phys. B 718 (2005) 113 [hep-th/0503216] [INSPIRE].
R. Kallosh and T. Wrase, Emergence of Spontaneously Broken Supersymmetry on an Anti-D3-Brane in KKLT dS Vacua, JHEP 12 (2014) 117 [arXiv:1411.1121] [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].
R. Kallosh, F. Quevedo and A.M. Uranga, String Theory Realizations of the Nilpotent Goldstino, arXiv:1507.07556 [INSPIRE].
S. Kachru, R. Kallosh, A.D. Linde and S.P. Trivedi, de Sitter vacua in string theory, Phys. Rev. D 68 (2003) 046005 [hep-th/0301240] [INSPIRE].
V. Balasubramanian, P. Berglund, J.P. Conlon and F. Quevedo, Systematics of moduli stabilisation in Calabi-Yau flux compactifications, JHEP 03 (2005) 007 [hep-th/0502058] [INSPIRE].
I. Antoniadis, E. Dudas, D.M. Ghilencea and P. Tziveloglou, Non-linear MSSM, Nucl. Phys. B 841 (2010) 157 [arXiv:1006.1662] [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].
I. Antoniadis, E. Dudas, D.M. Ghilencea and P. Tziveloglou, Nonlinear supersymmetry and goldstino couplings to the MSSM, Theor. Math. Phys. 170 (2012) 26 [INSPIRE].
F. Farakos and A. Kehagias, Non-Linear Single Higgs MSSM, Phys. Lett. B 719 (2013) 95 [arXiv:1210.4941] [INSPIRE].
Z. Komargodski and N. Seiberg, From Linear SUSY to Constrained Superfields, JHEP 09 (2009) 066 [arXiv:0907.2441] [INSPIRE].
S.M. Kuzenko and S.J. Tyler, On the Goldstino actions and their symmetries, JHEP 05 (2011) 055 [arXiv:1102.3043] [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].
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].
S.M. Kuzenko and S.J. Tyler, Complex linear superfield as a model for Goldstino, JHEP 04 (2011) 057 [arXiv:1102.3042] [INSPIRE].
F. Farakos, O. Hulık, P. Kočí and R. von Unge, Non-minimal scalar multiplets, supersymmetry breaking and dualities, JHEP 09 (2015) 177 [arXiv:1507.01885] [INSPIRE].
S.M. Kuzenko and S.J. Tyler, Comments on the complex linear Goldstino superfield, arXiv:1507.04593 [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].
S. Samuel and J. Wess, Realistic Model Building With the Akulov-Volkov Superfield and Supergravity, Nucl. Phys. B 226 (1983) 289 [INSPIRE].
J. Wess and J. Bagger, Supersymmetry and supergravity, Princeton University Press, Princeton U.S.A. (1992).
S.M. Kuzenko and S.J. Tyler, Relating the Komargodski-Seiberg and Akulov-Volkov actions: Exact nonlinear field redefinition, Phys. Lett. B 698 (2011) 319 [arXiv:1009.3298] [INSPIRE].
M. Kaku, P.K. Townsend and P. van Nieuwenhuizen, Properties of Conformal Supergravity, Phys. Rev. D 17 (1978) 3179 [INSPIRE].
M. Kaku and P.K. Townsend, Poincaré Supergravity As Broken Superconformal Gravity, Phys. Lett. B 76 (1978) 54 [INSPIRE].
P.K. Townsend and P. van Nieuwenhuizen, Simplifications of Conformal Supergravity, Phys. Rev. D 19 (1979) 3166 [INSPIRE].
T. Kugo and S. Uehara, Conformal and Poincaré Tensor Calculi in N = 1 Supergravity, Nucl. Phys. B 226 (1983) 49 [INSPIRE].
D.Z. Freedman and A. Van Proeyen, Supergravity, Cambridge University Press (2012).
T. Kugo and S. Uehara, Improved Superconformal Gauge Conditions in the N = 1 Supergravity Yang-Mills Matter System, Nucl. Phys. B 222 (1983) 125 [INSPIRE].
R. Kallosh, L. Kofman, A.D. Linde and A. Van Proeyen, Gravitino production after inflation, Phys. Rev. D 61 (2000) 103503 [hep-th/9907124] [INSPIRE].
R. Kallosh, L. Kofman, A.D. Linde and A. Van Proeyen, Superconformal symmetry, supergravity and cosmology, Class. Quant. Grav. 17 (2000) 4269 [Erratum ibid. 21 (2004) 5017] [hep-th/0006179] [INSPIRE].
H. Abe, Y. Sakamura and Y. Yamada, Matter coupled Dirac-Born-Infeld action in four-dimensional N = 1 conformal supergravity, Phys. Rev. D 92 (2015) 025017 [arXiv:1504.01221] [INSPIRE].
E.A. Bergshoeff, D.Z. Freedman, R. Kallosh and A. Van Proeyen, Pure de Sitter Supergravity, arXiv:1507.08264 [INSPIRE].
Open Access
This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1507.08619
Rights and permissions
Open Access This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (https://creativecommons.org/licenses/by/4.0), which permits use, duplication, adaptation, distribution, and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.
About this article
Cite this article
Hasegawa, F., Yamada, Y. Component action of nilpotent multiplet coupled to matter in 4 dimensional \( \mathcal{N}=1 \) supergravity. J. High Energ. Phys. 2015, 106 (2015). https://doi.org/10.1007/JHEP10(2015)106
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP10(2015)106