Metastable Vacua in Deformed N=2 Supersymmetric Models

Abstract

We show that supersymmetric Abelian models that are obtained from deformations of those with $\mathcal{N}=2$ supersymmetry also contain metastable vacua for a wide range of parameters. The deformations we consider are combinations of masses for charged and singlet fields, a singlet F--term and an anomalous D--term. We find that, in all cases, the nonsupersymmetric vacua are parametrically far from the supersymmetric ones and therefore metastable. Using retrofitting, we show that these metastable vacua may lead to semi--realistic phenomenology.

Comments: 17 pages in phyzzx.tex, numerous typos including those in equations corrected, 4 references added; v3 new vacua added, their discussion and phenomenology modified; v4 an appendix added, version to appear in IJMPA