On Quantum Microstates In The Near Extremal, Near Horizon Kerr Geometry
QUANTUM FEST 2015(2016)
摘要
We study the thermodynamics of near horizon near extremal Kerr (NHNEK) geometry within the framework of AdS(2)/CFT1 correspondence. We start by shifting the horizon of near horizon extremal Kerr (NHEK) geometry by a general finite mass. While this shift does not alter the geometry in that the resulting classical solution is still diffeomorphic to the NHEK solution, it does lead to a quantum theory different from that of NHEK. We obtain this quantum theory by means of a Robinson-Wilczek two-dimensional Kaluza-Klein reduction which enables us to introduce a finite regulator on the AdS(2) boundary and compute the full asymptotic symmetry group of the two-dimensional quantum conformal field theory on the respective AdS(2) boundary. The s-wave contribution of the energy-momentum-tensor of this conformal field theory, together with the asymptotic symmetries, generate a Virasoro algebra with a calculable center, which agrees with the standard Kerr/CFT result, and a non-vanishing lowest Virasoro eigenmode. The central charge and lowest eigenmode produce the Bekenstein-Hawking entropy and Hawking temperature for NHNEK.
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关键词
quantum microstates,near extremal
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