All supersymmetric solutions of minimal gauged supergravity in five dimensions

TL;DR

This work classifies all purely bosonic supersymmetric solutions of minimal gauged supergravity in five dimensions by exploiting Killing spinor bilinears, revealing two branches based on the Killing vector's causal character. In the timelike branch, the geometry is determined by a four-dimensional Kähler base $B$, with the full five-dimensional metric and field content fixed up to an anti-holomorphic function on $B$, and generically preserves $${1 \over 4}$$ of the supersymmetry; in the null branch, the solution is specified by three governing functions and also generically preserves $${1 \over 4}$$ SUSY. The paper proves that $AdS_5$ is the unique maximally supersymmetric configuration in this gauged theory and constructs new solutions, including regular deformations of $AdS_5$ and upliftable Type IIB backgrounds. These results extend the landscape of explicit supersymmetric backgrounds and provide a robust framework for generating further solutions via base geometry and holomorphic data, with potential applications to holography and string duals.

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