Isometries of Half Supersymmetric Time-Like Solutions In Five Dimensions

TL;DR

This paper classifies and simplifies half supersymmetric time-like solutions in five-dimensional gauged supergravity, revealing hidden symmetries and providing explicit forms for some solutions.

Contribution

It introduces coordinate transformations that simplify solutions and uncovers additional Killing vectors in five-dimensional supergravity.

Findings

Simplified complex solutions via coordinate transformations

Identified additional Killing vectors in solutions

Explicit forms for some solutions obtained

Abstract

Spinorial geometry techniques have recently been used to classify all half supersymmetric solutions in gauged five dimensional supergravity with vector multiplets. In this paper we consider solutions for which at least one of the Killing spinors generates a timelike Killing vector. We obtain coordinate transformations which considerably simplify the solutions, and in a number of cases, we obtain explicitly some additional Killing vectors which were hidden in the original analysis.