Kerr/CFT correspondence and five-dimensional BMPV black holes

TL;DR

This paper demonstrates that the Kerr/CFT correspondence accurately reproduces the entropy of five-dimensional BMPV black holes by calculating the central charge and temperature, confirming the duality's validity for these extremal black holes.

Contribution

It applies the Kerr/CFT correspondence to five-dimensional BMPV black holes, showing that the dual CFT reproduces the black hole entropy.

Findings

Central charge computed matches the Bekenstein-Hawking entropy

Frolov-Thorne temperature used in Cardy's formula

Kerr/CFT correspondence validated for five-dimensional black holes

Abstract

We apply a recently proposed Kerr/CFT correspondence to extremal supersymmetric five-dimensional charged spinning black holes, constructed by Breckenridge, Myers, Peet and Vafa. By computing the central charge of the dual CFT and Frolov-Thorne temperature, Cardy's formula succeeds in reproducing Bekenstein-Hawking area law.