A near-NHEK/CFT correspondence

Details A near-NHEK/CFT correspondence A near-NHEK/CFT correspondence

2010-04-27

arxiv.org/abs/1004.4773v2

Int.J.Mod.Phys.A25:5517-5527,2010

Physics

High Energy Physics

High Energy Physics - Theory

11 pages, v2: references updated, added

Scientific paper

10.1142/S0217751X10051001

We consider excitations around the recently introduced near-NHEK metric describing the near-horizon geometry of the near-extremal four-dimensional Kerr black hole. This geometry has a U(1)_L x U(1)_R isometry group which can be enhanced to a pair of commuting Virasoro algebras. We present boundary conditions for which the conserved charges of the corresponding asymptotic symmetries are well defined and non-vanishing and find the central charges c_L=12J/hbar and c_R=0 where J is the angular momentum of the black hole. Applying the Cardy formula reproduces the Bekenstein-Hawking entropy of the black hole. This suggests that the near-extremal Kerr black hole is holographically dual to a non-chiral two-dimensional conformal field theory.

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