Central charges for Kerr and Kerr-AdS black holes in diverse dimensions

TL;DR

This paper computes the central charges for Kerr and Kerr-AdS black holes across various dimensions, providing a microscopic statistical explanation for their entropy based on scalar fields on the horizon.

Contribution

It introduces a method to calculate central charges for diverse black holes and extends the microscopic entropy explanation to higher dimensions.

Findings

Central charges are computed for Kerr and Kerr-AdS black holes in multiple dimensions.

A statistical entropy explanation based on scalar fields on the horizon is provided.

The approach generalizes previous 4D results to higher-dimensional black holes.

Abstract

In the previous work we give a microscopic explanation of the entropy for the BTZ black hole and four-dimensional Kerr black hole based on the massless scalar field theory on the horizon. An essential input is the central charges of those black holes. In this paper, we calculate the central charges for Kerr black holes and Kerr-AdS black holes in diverse dimensions by rewriting the entropy formula in a suggesting way. Then we also give the statistical explanation for the entropy of those black holes based on the scalar field on the horizon which similar to 4D kerr black hole.