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arXiv · 1009.1661

A Near Horizon CFT Dual for Kerr-Newman-$AdS$

Bradly K. Button·Leo Rodriguez·Catherine A. Whiting·Tuna Yildirim
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Abstract

We show that the near horizon regime of a Kerr-Newman-$AdS$ (KN$AdS$) black hole, given by its two dimensional analogue $a la$ Robinson and Wilczek (2005 Phys. Rev. Lett. 95 011303), is asymptotically $AdS_2$ 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$AdS$ black hole by coupling its Robinson and Wilczek two dimensional analogue (RW2DA) to conformal matter.

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Bradly K. Button, Leo Rodriguez, Catherine A. Whiting, Tuna Yildirim. 2011-05-28. A Near Horizon CFT Dual for Kerr-Newman-$AdS$. https://doi.org/10.1142/s0217751x11053663

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