Hidden conformal symmetry of the Kerr-Newman black hole

作者:Wang Yong Qiang*; Liu Yu Xiao
来源:Journal of High Energy Physics, 2010, 2010(8): 087.
DOI:10.1007/JHEP08(2010)087

摘要

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))/(4 pi J) and T(R) = root M(4) - J(2) - M(2)Q(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.