Extremal Kerr/CFT correspondence of five-dimensional rotating (charged) black holes with squashed horizons

TL;DR

This paper extends the Kerr/CFT correspondence to five-dimensional extremal black holes with squashed horizons, showing the near-horizon geometry remains unaffected and microscopic entropy matches Bekenstein-Hawking entropy, also exploring non-extremal thermodynamics.

Contribution

It applies Kerr/CFT duality to five-dimensional black holes with squashed horizons, demonstrating the invariance of near-horizon geometry and entropy agreement, and investigates non-extremal thermodynamics.

Findings

Near-horizon geometries are unaffected by squashing.

Microscopic entropy matches Bekenstein-Hawking entropy.

Thermodynamics of non-extremal black holes is analyzed.

Abstract

A new holographic duality named Kerr/CFT correspondence was recently proposed to derive the statistical entropy of four-dimensional extremal Kerr black holes via identifying the quantum states in the near-horizon region with those of two-dimensional conformal field theory living on the boundary. In this paper, we apply this method to investigate five-dimensional extremal Kerr and Cveti\v{c}-Youm black holes with squashed horizons in different coordinates and find that the near-horizon geometries are not affected by the squashing transformation. Our investigation shows that the microscopic entropies are in agreement with those given by Bekenstein-Hawking formula. In addition, we have also investigated thermodynamics of the general non-extremal Cveti\v{c}-Youm black holes with squashed horizons.