No metastable de Sitter vacua in Script N = 2 supergravity with only hypermultiplets

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Published 2 February 2009 • Published under licence by IOP Publishing Ltd
, , Citation Marta Gómez-Reino et al JHEP02(2009)003 DOI 10.1088/1126-6708/2009/02/003

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Author affiliations

1 Theory Division, Physics Department, CERN, CH-1211 Geneva 23, Switzerland

2 II. Institut für Theoretische Physik, Universität Hamburg, D-22761 Hamburg, Germany

3 Zentrum für Mathematische Physik, Universität Hamburg, Bundesstrasse 55, D-20146 Hamburg, Germany

4 Institut de Théorie des Phénomènes Physiques, EPFL, CH-1015 Lausanne, Switzerland

Dates

  1. Received 18 December 2008
  2. Accepted 15 January 2009
  3. Published

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1126-6708/2009/02/003

Abstract

We study the stability of vacua with spontaneously broken supersymmetry in Script 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.

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10.1088/1126-6708/2009/02/003