All supersymmetric solutions of minimal supergravity in six dimensions

TL;DR

This paper derives a comprehensive classification of all supersymmetric solutions in minimal six-dimensional supergravity, presenting new solutions and analyzing their geometric properties, including maximally supersymmetric cases and near-horizon geometries.

Contribution

It provides the first complete general form for all supersymmetric solutions in minimal six-dimensional supergravity and identifies new solutions and their geometric classifications.

Findings

Maximally supersymmetric solutions are flat space, AdS_3 x S^3, or a plane wave.

Any supersymmetric solution with a compact horizon has specific near-horizon geometries.

New explicit supersymmetric solutions are constructed and analyzed.

Abstract

A general form for all supersymmetric solutions of minimal supergravity in six dimensions is obtained. Examples of new supersymmetric solutions are presented. It is proven that the only maximally supersymmetric solutions are flat space, AdS_3 x S^3 and a plane wave. As an application of the general solution, it is shown that any supersymmetric solution with a compact horizon must have near-horizon geometry R^{1,1} x T^4, R^{1,1} x K3 or identified AdS_3 x S^3.