Kerr/CFT correspondence and five-dimensional BMPV black holes

TL;DR

This work extends the Kerr/CFT framework to extremal five-dimensional BMPV black holes by analyzing the near-horizon geometry and deriving the asymptotic symmetry group. It computes a chiral Virasoro central charge and the Frolov-Thorne temperature, then uses Cardy’s formula to obtain the microscopic entropy, which exactly matches the Bekenstein-Hawking result. The results reinforce the link between near-horizon conformal symmetry and black hole entropy in higher dimensions, and point to future avenues involving 6D lifts and D-brane interpretations. The study also highlights a curvature in central-charge scaling relative to some microscopic counts, suggesting avenues for further theoretical exploration.

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.