Hidden Conformal Symmetry of the Kerr-Newman Black Hole

TL;DR

This paper demonstrates that the near-region Kerr-Newman black hole exhibits hidden conformal symmetry, allowing a dual description as a 2D conformal field theory that reproduces its entropy and absorption properties.

Contribution

It reveals the hidden conformal symmetry of the Kerr-Newman black hole and establishes a dual 2D CFT description matching entropy and absorption cross sections.

Findings

Reproduces black hole entropy via Cardy formula

Matches scalar field absorption cross section with 2D CFT prediction

Identifies dual temperatures for the Kerr-Newman black hole

Abstract

We investigate the hidden conformal symmetry of the 4-dimensional non-extremal Kerr-Newman (KN) black hole with the idea of the near-region Kerr/CFT correspondence proposed by Castro, Maloney and Strominger in arXiv:1004.0996[hep-th]. The near-region KN black hole is dual to a 2D CFT with left and right temperatures $T_L=(2 M^2-Q^2)/(4\pi J)$ and $T_R=\sqrt{M^4-J^2-M^2Q^2}/(2\pi J)$. Furthermore, we reproduce the microscopic entropy of the KN black hole via the Cardy formula, which is in agreement with the macroscopic Bekenstein-Hawking entropy and precisely match the absorption cross section of a near-region scalar field in the KN black hole with the finite-temperature absorption cross section for a 2D CFT.