Abstract
We consider the stability of non-supersymmetric critical points of general \( \mathcal{N} = 4 \) supergravities. A powerful method to analyse this issue based on the sGoldstino direction has been developed for minimal supergravity. We adapt this to the present case, and address the conceptually new features arising for extended supersymmetry. As an application, we investigate the stability when supersymmetry breaking proceeds via either the gravity or the matter sector. Finally, we outline the \( \mathcal{N} = 8 \) case.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
C.M. Hull and N.P. Warner, The potentials of the gauged N = 8 supergravity theories, Nucl. Phys. B 253 (1985) 675 [SPIRES].
R. Kallosh, A.D. Linde, S. Prokushkin and M. Shmakova, Gauged supergravities, de Sitter space and cosmology, Phys. Rev. D 65 (2002) 105016 [hep-th/0110089] [SPIRES].
M. de Roo, D.B. Westra and S. Panda, de Sitter solutions in N = 4 matter coupled supergravity, JHEP 02 (2003) 003 [hep-th/0212216] [SPIRES].
M. de Roo, D.B. Westra, S. Panda and M. Trigiante, Potential and mass-matrix in gauged N = 4 supergravity, JHEP 11 (2003) 022 [hep-th/0310187] [SPIRES].
D. Roest and J. Rosseel, de Sitter in extended supergravity, Phys. Lett. B 685 (2010) 201 [arXiv:0912.4440] [SPIRES].
N.P. Warner, Some new extrema of the scalar potential of gauged N = 8 supergravity, Phys. Lett. B 128 (1983) 169 [SPIRES].
N.P. Warner, Some properties of the scalar potential in gauged supergravity theories, Nucl. Phys. B 231 (1984) 250 [SPIRES].
T. Fischbacher, Fourteen new stationary points in the scalar potential of SO(8)-gauged N = 8, D = 4 supergravity, JHEP 09 (2010) 068 [arXiv:0912.1636] [SPIRES].
N. Bobev, N. Halmagyi, K. Pilch and N.P. Warner, Supergravity instabilities of non-supersymmetric quantum critical points, Class. Quant. Grav. 27 (2010) 235013 [arXiv:1006.2546] [SPIRES].
T. Fischbacher, K. Pilch and N.P. Warner, New supersymmetric and stable, non-supersymmetric phases in supergravity and holographic field theory, arXiv:1010.4910 [SPIRES].
M. Gomez-Reino and C.A. Scrucca, Locally stable non-supersymmetric Minkowski vacua in supergravity, JHEP 05 (2006) 015 [hep-th/0602246] [SPIRES].
M. Gomez-Reino and C.A. Scrucca, Constraints for the existence of flat and stable non-supersymmetric vacua in supergravity, JHEP 09 (2006) 008 [hep-th/0606273] [SPIRES].
M. Gomez-Reino and C.A. Scrucca, Metastable supergravity vacua with F and D supersymmetry breaking, JHEP 08 (2007) 091 [arXiv:0706.2785] [SPIRES].
L. Covi et al., de Sitter vacua in no-scale supergravities and Calabi-Yau string models, JHEP 06 (2008) 057 [arXiv:0804.1073] [SPIRES].
L. Covi et al., Constraints on modular inflation in supergravity and string theory, JHEP 08 (2008) 055 [arXiv:0805.3290] [SPIRES].
L. Covi, M. Gomez-Reino, C. Gross, G.A. Palma and C.A. Scrucca, Constructing de Sitter vacua in no-scale string models without uplifting, JHEP 03 (2009) 146 [arXiv:0812.3864] [SPIRES].
M. Gomez-Reino, J. Louis and C.A. Scrucca, No metastable de Sitter vacua in N = 2 supergravity with only hypermultiplets, JHEP 02 (2009) 003 [arXiv:0812.0884] [SPIRES].
P. Breitenlohner and D.Z. Freedman, Positive energy in Anti-de Sitter backgrounds and gauged extended supergravity, Phys. Lett. B 115 (1982) 197 [SPIRES].
A. Higuchi, Forbidden mass range for spin-2 field theory in de Sitter space-time, Nucl. Phys. B 282 (1987) 397 [SPIRES].
S. Deser and A. Waldron, Partial masslessness of higher spins in (A)dS, Nucl. Phys. B 607 (2001) 577 [hep-th/0103198] [SPIRES].
H. Nicolai, Representations of supersymmetry in Anti-de Sitter space, presented at Spring School on Supergravity and Supersymmetry, April 4–14, Trieste, Italy (1984).
T. Garidi, What is mass in de Sitterian physics?, hep-th/0309104 [SPIRES].
J.P. Gazeau and M. Novello, The question of mass in (anti-)de Sitter spacetimes, J. Phys. A 41 (2008) 304008 [SPIRES].
A. Van Proeyen, Supergravity with Fayet-Iliopoulos terms and R-symmetry, Fortsch. Phys. 53 (2005) 997 [hep-th/0410053] [SPIRES].
B. de Wit, H. Samtleben and M. Trigiante, On lagrangians and gaugings of maximal supergravities, Nucl. Phys. B 655 (2003) 93 [hep-th/0212239] [SPIRES].
J. Schon and M. Weidner, Gauged N = 4 supergravities, JHEP 05 (2006) 034 [hep-th/0602024] [SPIRES].
S.B. Giddings, S. Kachru and J. Polchinski, Hierarchies from fluxes in string compactifications, Phys. Rev. D 66 (2002) 106006 [hep-th/0105097] [SPIRES].
J. Louis, P. Smyth and H. Triendl, Spontaneous N = 2 to N = 1 supersymmetry breaking in supergravity and type II string theory, JHEP 02 (2010) 103 [arXiv:0911.5077] [SPIRES].
S. Helgason, Differential geometry, Lie groups, and symmetric spaces, American Mathematical Society, U.S.A. (2001).
J.-C. Jacot and C.A. Scrucca, Metastable supersymmetry breaking in N = 2 non-linear σ-models, Nucl. Phys. B 840 (2010) 67 [arXiv:1005.2523] [SPIRES].
E.A. Bergshoeff, M. de Roo, O. Hohm and D. Roest, Multiple membranes from gauged supergravity, JHEP 08 (2008) 091 [arXiv:0806.2584] [SPIRES].
K.A. Meissner and H. Nicolai, Conformal invariance from non-conformal gravity, Phys. Rev. D 80 (2009) 086005 [arXiv:0907.3298] [SPIRES].
Author information
Authors and Affiliations
Corresponding author
Rights and permissions
Open Access This is an open access article distributed under the terms of the Creative Commons Attribution Noncommercial License (https://creativecommons.org/licenses/by-nc/2.0), which permits any noncommercial use, distribution, and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Borghese, A., Roest, D. Metastable supersymmetry breaking in extended supergravity. J. High Energ. Phys. 2011, 102 (2011). https://doi.org/10.1007/JHEP05(2011)102
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP05(2011)102