On the CFT duals for near-extremal black holes

Details On the CFT duals for near-extremal black holes On the CFT duals for near-extremal black holes

2010-05-13

arxiv.org/abs/1005.2255v1

Mod.Phys.Lett.A26:1601-1611,2011

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

10.1142/S0217732311035973

We consider Kerr-Newman-AdS-dS black holes near extremality and work out the near-horizon geometry of these near-extremal black holes. We identify the exact U(1)_L x U(1)_R isometries of the near-horizon geometry and provide boundary conditions enhancing them to a pair of commuting Virasoro algebras. The conserved charges of the corresponding asymptotic symmetries are found to be well defined and non-vanishing and to yield central charges c_L\neq0 and c_R=0. The Cardy formula subsequently reproduces the Bekenstein-Hawking entropy of the black hole. This suggests that the near-extremal Kerr-Newman-AdS-dS black hole is holographically dual to a non-chiral two-dimensional conformal field theory.

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