Comments on supersymmetric solutions of minimal gauged supergravity in five dimensions

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Abstract

We investigate supersymmetric solutions of minimal gauged supergravity in five dimensions, in the timelike class. We propose an ansatz based on a four-dimensional local orthotoric Kähler metric and reduce the problem to a single sixth-order equation for two functions, each of one variable. We find an analytic, asymptotically locally AdS solution comprising five parameters. For a conformally flat boundary, this reduces to a previously known solution with three parameters, representing the most general solution of this type known in the minimal theory. We discuss the possible relevance of certain topological solitons contained in the latter to account for the supersymmetric Casimir energy of dual superconformal field theories on ${S}^{3}\times {\mathbb{R}}$. Although we obtain a negative response, our analysis clarifies several aspects of these solutions. In particular, we show that there exists a unique regular topological soliton in this family.
Original languageEnglish
Article number115013
Number of pages29
JournalClassical and Quantum Gravity
Volume33
Issue number11
DOIs
Publication statusPublished - 3 May 2016

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