Hidden conformal symmetry of rotating charged black holes

TL;DR

This paper explores the hidden conformal symmetry in rotating charged black holes, revealing how it is broken by periodicity and confirming the black holes' entropy and absorption properties align with conformal field theory predictions.

Contribution

It extends the analysis of hidden conformal symmetry to Kerr-Sen and Kerr-Newman-Kasuya black holes, demonstrating consistency with 2D CFT models.

Findings

Conformal symmetry is spontaneously broken by azimuthal angle periodicity.

Absorption cross sections match finite temperature 2D CFT predictions.

Black hole entropies are accurately reproduced by the Cardy formula.

Abstract

Motivated by the recent work of the hidden conformal symmetry of the Kerr black hole, we investigate the hidden conformal symmetry of a Kerr-Sen black hole and a Kerr-Newman-Kasuya black hole. Our result shows the conformal symmetry is spontaneously broken due to the periodicity of the azimuthal angle. The absorption across section is in consistence with the finite temperature absorption cross section for a 2D CFT. The entropies of the black holes are reproduced by the Cardy formula.