All supersymmetric solutions of minimal supergravity in five dimensions

TL;DR

This paper classifies all bosonic supersymmetric solutions in five-dimensional minimal supergravity, presenting new solutions including plane waves and a G"odel universe analogue with high supersymmetry, and explores their higher-dimensional lifts.

Contribution

It provides a complete classification of solutions and introduces new explicit solutions, including a maximally supersymmetric G"odel universe analogue.

Findings

Classified all supersymmetric solutions in five-dimensional minimal supergravity.

Constructed explicit solutions such as plane-fronted waves and a G"odel universe analogue.

Identified solutions that lift to eleven-dimensional supergravity with high supersymmetry.

Abstract

All purely bosonic supersymmetric solutions of minimal supergravity in five dimensions are classified. The solutions preserve either one half or all of the supersymmetry. Explicit examples of new solutions are given, including a large family of plane-fronted waves and a maximally supersymmetric analogue of the G\"odel universe which lifts to a solution of eleven dimensional supergravity that preserves 20 supersymmetries.