Supersymmetric AdS Black Rings

TL;DR

This paper proves that all regular supersymmetric near-horizon geometries in minimal five-dimensional gauged supergravity are already known, showing that no supersymmetric black ring solutions exist in this theory.

Contribution

The authors demonstrate that all supersymmetric near-horizon geometries in the theory are previously known, ruling out the existence of new supersymmetric black ring solutions.

Findings

All supersymmetric near-horizon geometries are previously constructed examples.

No supersymmetric black ring solutions exist in minimal five-dimensional gauged supergravity.

Abstract

It has been proven in arXiv:1303.0853 that all regular supersymmetric near-horizon geometries in minimal five-dimensional gauged supergravity admit automatic supersymmetry enhancement. Using this result, the integrability conditions associated with the existence of the additional supersymmetry are analysed, and the near-horizon geometries are determined explicitly. We show that they all correspond to previously constructed examples. Hence, there are no supersymmetric black ring solutions in minimal five-dimensional gauged supergravity.