Scalar masses in general N=2 gauged supergravity theories

Francesca Catino, Claudio Scrucca, Paul Smyth
Springer, 2014
Article

Résumé

We readdress the question of whether any universal upper bound exists on the square mass m(2) of the lightest scalar around a supersymmetry breaking vacuum in generic N=2 gauged supergravity theories for a given gravitino mass m(3/2) and cosmological constant V. We review the known bounds which apply to theories with restricted matter content from a new perspective. We then extend these results to theories with both hyper and vector multiplets and a gauging involving only one generator, for which we show that such a bound exists for both V > 0 and V < 0. We finally argue that there is no bound for the same theories with a gauging involving two or more generators. These results imply that in N=2 supergravity theories metastable de Sitter vacua with V < m(3/2)(2) can only arise if at least two isometries are gauged, while those with V >> m(3/2)(2) can also arise when a single isometry is gauged.

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