Abstract
We consider, for spacetimes of arbitrary dimension, the general two-derivative gravity plus scalar field theory allowing anti-de Sitter space as a solution. We study the restrictions on the scalar field potential required by positivity of the energy. In particular, we rederive the perturbative stability criterion. Applied to the d = 5 gauged Maxwell/Einstein supergravity theory our results demonstrate the stability of the supersymmetric (adS) 5 ground state.
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