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.
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Diamandis et al. (2002) studied this question.
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