Entropy of Kaluza-Klein Black Hole from Kerr/CFT Correspondence

TL;DR

This paper explores the dual conformal field theory of Kaluza-Klein black holes using Kerr/CFT correspondence, calculating entropies that match the Bekenstein-Hawking entropy for both extremal and non-extremal cases.

Contribution

It extends Kerr/CFT correspondence to Kaluza-Klein black holes, providing entropy calculations for extremal and non-extremal cases that align with classical results.

Findings

Microscopic entropy matches Bekenstein-Hawking entropy for extremal black holes.

Hidden conformal symmetry identified in non-extremal Kaluza-Klein black holes.

Temperatures of dual CFT derived from wave equations and entropy calculations.

Abstract

We extend the recently proposed Kerr/CFT correspondence to examine the dual conformal field theory of Kaluza-Klein black hole. For the extremal Kaluza-Klein black hole, the central charge and temperature of the dual conformal field are calculated, and the microscopic entropy calculated by using Cardy formula agrees with the Bekenstein-Hawking entropy of extremal Kaluza-Klein black hole. For the non-extremal case, we investigate the hidden conformal symmetry of Kaluza-Klein black hole by studying the near-region wave equation of a neutral massless scalar field, and find the left and right temperatures of dual conformal field theory. Furthermore, the entropy of non-extremal Kaluza-Klein black hole is reproduced by using Cardy formula.