Supersymmetric AdS Black Rings

Understand

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.