Metastable spontaneous breaking of supersymmetry

We show that contrary to the common lore it is possible to spontaneously break N = 2 supersymmetry even in simple theories without constant FayetaIliopoulos terms. We consider the most general N = 2 supersymmetric theory with one hypermultiplet and one vector multiplet without FayetaIliopoulos terms...

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Published inPhysics letters. B Vol. 722; no. 4-5; pp. 372 - 377
Main Authors Legeret, Benoit, Scrucca, Claudio A, Smyth, Paul
Format Journal Article
LanguageEnglish
Published 24.05.2013
Subjects
Breaking
Cosmological constant
Elementary particles
Gauging
Mathematical analysis
Scalars
Supersymmetry
Vectors (mathematics)
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Summary:We show that contrary to the common lore it is possible to spontaneously break N = 2 supersymmetry even in simple theories without constant FayetaIliopoulos terms. We consider the most general N = 2 supersymmetric theory with one hypermultiplet and one vector multiplet without FayetaIliopoulos terms, and show that metastable supersymmetry breaking vacua can arise if both the hyper-Kaehler and the special-Kaehler geometries are suitably curved. We then also prove that while all the scalars can be massive, the lightest one is always lighter than the vector boson. Finally, we argue that these results also directly imply that metastable de Sitter vacua can exist in N = 2 supergravity theories with Abelian gaugings and no FayetaIliopoulos terms, again contrary to common lore, at least if the cosmological constant is sufficiently large.
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ISSN:0370-2693