A Near Horizon CFT Dual for Kerr-Newman-
arXiv:1009.1661 · doi:10.1142/S0217751X11053663
Abstract
We show that the near horizon regime of a Kerr-Newman- (KN) black hole, given by its two dimensional analogue Robinson and Wilczek (2005 Phys. Rev. Lett. 95 011303), is asymptotically and dual to a one dimensional quantum conformal field theory (CFT). The s-wave contribution of the resulting CFT's energy-momentum-tensor together with the asymptotic symmetries, generate a centrally extended Virasoro algebra, whose central charge reproduces the Bekenstein-Hawking entropy via Cardy's Formula. Our derived central charge also agrees with the near extremal Kerr/CFT Correspondence (2009 Phys. Rev. D 80, 124008) in the appropriate limits. We also compute the Hawking temperature of the KN black hole by coupling its Robinson and Wilczek two dimensional analogue (RW2DA) to conformal matter.
15 pages. Major edits and revisions. Final version accepted for publication in IJMPA
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