Near horizon superconformal symmetry of rotating BPS black holes in five dimensions

TL;DR

This paper analyzes the near horizon superconformal symmetry of rotating BPS black holes in five dimensions, revealing a chiral super-Virasoro algebra with vanishing central charge in their asymptotic symmetry group.

Contribution

It demonstrates the existence of a super-Virasoro algebra in the near horizon region of BMPV black holes, including fermionic fluctuations, with boundary conditions ensuring consistent asymptotic symmetries.

Findings

Asymptotic symmetry group is a chiral Virasoro algebra with zero central charge.

Including fermionic fluctuations extends the algebra to a super-Virasoro with zero central extension.

Super-Virasoro algebra originates from the AdS2 isometry supergroup.

Abstract

We investigate the asymptotic supersymmetry group of the near horizon region of the BMPV black holes, which are the rotating BPS black holes in five dimensions. When considering only bosonic fluctuations, we show that there exist consistent boundary conditions and the corresponding asymptotic symmetry group is generated by a chiral Virasoro algebra with the vanishing central charge. After turning on fermionic fluctuations with the boundary conditions, we also show that the asymptotic supersymmetry group is generated by a chiral super-Virasoro algebra with the vanishing central extension. The super-Virasoro algebra is originated in the AdS2 isometry supergroup of the near horizon solution.