Hidden conformal symmetry of the Kerr-Newman black hole

Abstract

We investigate the hidden conformal symmetry of the 4-dimensional nonextremal 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 TL = (2M2-Q 2)/(4πJ) and TR = √M4-J 2-M2Q2/(2πJ). 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 finitetemperature absorption cross section for a 2D CFT. © 2010 SISSA.