Hidden conformal symmetry of 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 = (2M 2 − Q 2)/(4πJ) and \( {T_R} = {{{\sqrt {{{M^4} - {J^2} - {M^2}{Q^2}}} }} \left/ {{\left( {2\pi J} \right)}} \right.} \). 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.