Locally stable non-supersymmetric Minkowski vacua in supergravity
By M. Gómez-Reino, C. Scrucca. 2006
176 citations recorded by the source corpus.
We perform a general study about the existence of non-supersymmetric minima with vanishing cosmological constant in supergravity models involving only chiral superfields. We study the conditions under which the matrix of second derivatives of the scalar potential is positive definite. We show that there exist very simple and strong necessary conditions for stability that constrain the Kahler curvature and the ratios of the supersymmetry-breaking auxiliary fields defining the Goldstino direction. We then derive more explicitly the implications of these constraints in the case where the Kahler potential for the supersymmetry-breaking fields is separable into a sum of terms for each of the fields. We also discuss the implications of our general results on the dynamics of moduli fields arising in string compactifications and on the relative sizes of their auxiliary fields, which are relevant for the soft terms of matter fields. We finally comment on how the idea of uplifting a supersymmetric AdS vacuum fits into our general study.
Subfields: Astronomy and Astrophysics, Nuclear and High Energy Physics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/2e75f682076189a48ae036f105bcb158e0375322
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Citations in the corpus
- Jumping Through Loops: On Soft Terms from Large Volume Compactifications (2007, unknown): “Various mechanisms were suggested in [2,36,42–45].”
- De Sitter vacua in no-scale supergravities and Calabi-Yau string models (2008, background): “[30, 31] for models with a fixed cosmological constant.”