Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-09-08
Int.J.Mod.Phys.A26:3077-3090,2011
Physics
High Energy Physics
High Energy Physics - Theory
15 pages. Major edits and revisions. Final version accepted for publication in IJMPA
Scientific paper
10.1142/S0217751X11053663
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.
Button Bradly K.
Rodriguez Lino
Whiting Catherine A.
Yildirim Tuna
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