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arxiv: 1004.4661 · v3 · pith:CB3QUQS3new · submitted 2010-04-26 · ✦ hep-th · gr-qc

Hidden Conformal Symmetry of the Kerr-Newman Black Hole

classification ✦ hep-th gr-qc
keywords blackholenear-regionabsorptionconformalcrossentropyhidden
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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.

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