2008/12/04 by Marta Gomez-Reino, Marta G贸mez-Reino, Jan Louis +2 路 3 citations
Physics and Astronomy 路 #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Noncommutative and Quantum Gravity Theories #hep-th
paper 路 pdf 路 doi:10.1088/1126-6708/2009/02/003
published as JHEP 0902:003,2009 路 26 pages, Latex, no figures
arxiv created 2008/12/04 路 openalex publication_date 2009/02/02 路 arxiv updated 2009/12/01 路 openalex created_date 2016/06/24 路 openalex updated_date 2026/07/28
We study the stability of vacua with spontaneously broken supersymmetry in N=2 supergravity theories with only hypermultiplets. Focusing on the projection of the scalar mass matrix along the sGoldstino directions, we are able to derive a universal upper bound on the lowest mass eigenvalue. This bound only depends on the gravitino mass and the cosmological constant, but not on the details of the quaternionic manifold spanned by the scalar fields. Comparing with the Breitenlohner-Freedman bound shows that metastability requires the cosmological constant to be smaller than a certain negative critical value. Therefore, only AdS vacua with a sufficiently negative cosmological constant can be stable, while Minkowski and dS vacua necessarily have a tachyonic direction.