On the Stability of the Classical Vacua in a Minimal SU(5) 5-D Supergravity Model

Abstract

We consider a five-dimensional supergravity model with SU(5) gauge symmetry and the minimal field content. Studying the arising scalar potential we find that the gauging of the $U(1{)}_R$ symmetry of the five-dimensional supergravity causes instabilities. Lifting the instabilities the vacua are of Anti-de-Sitter type and SU(5) is broken along with supersymmetry. Keeping the $U(1{)}_R$ ungauged the potential has flat directions along which supersymmetry is unbroken.

arXiv comment24 pages, 2 figures

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