Abstract
We explicitly compute the component action of certain recently discovered new \( \mathcal{N} \) = 1 supergravity actions which enlarge the space of scalar potentials allowed by supersymmetry and also contain fermionic interaction terms that become singular when supersymmetry is unbroken. They are the “Liberated Supergravity” introduced by Farakos, Kehagias and Riotto, and supergravities with a new Kähler-invariant Fayet-Iliopoulos term proposed by Antoniadis, Chatrabhuti, Isono, and Knoops. This paper is complementary to our previous papers [Phys. Rev. D 103 (2021) 025008 and 105006], in which new constraints on the coupling constants of those new theories were found. In this paper we spell out many details that were left out of our previous papers.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
ATLAS collaboration, Search for supersymmetry in final states with two same-sign or three leptons and jets using 36 fb−1 of \( \sqrt{s} \) = 13 TeV pp collision data with the ATLAS detector, JHEP 09 (2017) 084 [Erratum JHEP 08 (2019) 121] [arXiv:1706.03731] [INSPIRE].
CMS collaboration, Search for supersymmetry in proton-proton collisions at 13 TeV in final states with jets and missing transverse momentum, JHEP 10 (2019) 244 [arXiv:1908.04722] [INSPIRE].
D.Z. Freedman and A. Van Proeyen, Supergravity, Cambridge University Press, Cambridge U.K. (2012).
I. Antoniadis, A. Chatrabhuti, H. Isono and R. Knoops, The cosmological constant in Supergravity, Eur. Phys. J. C 78 (2018) 718 [arXiv:1805.00852] [INSPIRE].
I. Antoniadis and F. Rondeau, New Kähler invariant Fayet-Iliopoulos terms in supergravity and cosmological applications, Eur. Phys. J. C 80 (2020) 346 [arXiv:1912.08117] [INSPIRE].
I. Antoniadis, A. Chatrabhuti, H. Isono and R. Knoops, Fayet-Iliopoulos terms in supergravity and D-term inflation, Eur. Phys. J. C 78 (2018) 366 [arXiv:1803.03817] [INSPIRE].
N. Cribiori, F. Farakos, M. Tournoy and A. Van Proeyen, Fayet-Iliopoulos terms in supergravity without gauged R-symmetry, JHEP 04 (2018) 032 [arXiv:1712.08601] [INSPIRE].
Y. Aldabergenov, S.V. Ketov and R. Knoops, General couplings of a vector multiplet in N = 1 supergravity with new FI terms, Phys. Lett. B 785 (2018) 284 [arXiv:1806.04290] [INSPIRE].
S.M. Kuzenko, Taking a vector supermultiplet apart: Alternative Fayet-Iliopoulos-type terms, Phys. Lett. B 781 (2018) 723 [arXiv:1801.04794] [INSPIRE].
F. Farakos, A. Kehagias and A. Riotto, Liberated \( \mathcal{N} \) = 1 supergravity, JHEP 06 (2018) 011 [arXiv:1805.01877] [INSPIRE].
H. Jang and M. Porrati, Constraining Liberated Supergravity, Phys. Rev. D 103 (2021) 025008 [arXiv:2010.06789] [INSPIRE].
H. Jang and M. Porrati, Inflation, gravity mediated supersymmetry breaking, and de Sitter vacua in supergravity with a Kähler-invariant Fayet-Iliopoulos term, Phys. Rev. D 103 (2021) 105006 [arXiv:2102.11358] [INSPIRE].
E. Cremmer, B. Julia, J. Scherk, S. Ferrara, L. Girardello and P. van Nieuwenhuizen, Spontaneous Symmetry Breaking and Higgs Effect in Supergravity Without Cosmological Constant, Nucl. Phys. B 147 (1979) 105 [INSPIRE].
E. Cremmer, S. Ferrara, L. Girardello and A. Van Proeyen, Yang-Mills Theories with Local Supersymmetry: Lagrangian, Transformation Laws and SuperHiggs Effect, Nucl. Phys. B 212 (1983) 413 [INSPIRE].
S. Ferrara, R. Kallosh, A. Van Proeyen and T. Wrase, Linear Versus Non-linear Supersymmetry, in General, JHEP 04 (2016) 065 [arXiv:1603.02653] [INSPIRE].
T. Kugo, R. Yokokura and K. Yoshioka, Component versus superspace approaches to D = 4, N = 1 conformal supergravity, Prog. Theor. Exp. Phys. 2016 (2016) 073B07 [arXiv:1602.04441] [INSPIRE].
M. Rausch de Traubenberg and M. Valenzuela, A Supergravity Primer: From Geometrical Principles to the Final Lagrangian, World Scientific (2020).
C. Vafa, The String landscape and the swampland, hep-th/0509212 [INSPIRE].
T.D. Brennan, F. Carta and C. Vafa, The String Landscape, the Swampland, and the Missing Corner, PoS TASI2017 (2017) 015 [arXiv:1711.00864] [INSPIRE].
E. Palti, The Swampland: Introduction and Review, Fortsch. Phys. 67 (2019) 1900037 [arXiv:1903.06239] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2108.04469
Rights and permissions
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.
About this article
Cite this article
Jang, H., Porrati, M. Component actions of liberated \( \mathcal{N} \) = 1 supergravity and new Fayet-Iliopoulos terms in superconformal tensor calculus. J. High Energ. Phys. 2021, 75 (2021). https://doi.org/10.1007/JHEP11(2021)075
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP11(2021)075