All supersymmetric solutions of minimal gauged supergravity in five dimensions

TL;DR

This paper classifies all bosonic supersymmetric solutions in minimal gauged supergravity in five dimensions, revealing their structure based on the nature of the Killing vector and constructing new solutions including deformations of AdS5.

Contribution

It provides a complete classification of solutions based on Killing vector properties and introduces new solutions, including a non-singular deformation of AdS5.

Findings

Solutions are classified into timelike and null classes.

Maximally supersymmetric solution is unique as AdS5.

New solutions include a non-singular deformation of AdS5.

Abstract

All purely bosonic supersymmetric solutions of minimal gauged supergravity in five dimensions are classified. The solutions fall into two classes depending on whether the Killing vector constructed from the Killing spinor is time-like or null. When it is timelike, the solutions are determined by a four-dimensional Kahler base-manifold, up to an anti-holomorphic function, and generically preserve 1/4 of the supersymmetry. When it is null we provide a precise prescription for constructing the solutions and we show that they generically preserve 1/4 of the supersymmetry. We show that $AdS_5$ is the unique maximally supersymmetric configuration. The formalism is used to construct some new solutions, including a non-singular deformation of $AdS_5$, which can be uplifted to obtain new solutions of type IIB supergravity