On Quantum Microstates in the Near Extremal, Near Horizon Kerr Geometry

Quantum Fest 2015

Guneratne, A.^1 ; Rodriguez, L.^2 ; Wickramasekara, S.^1,3 ; Yildirim, T.^4

Department of Physics and Astronomy, University of Iowa, Iowa City

IA

52242, United States^1

Department of Physics, Assumption College, Worcester

MA

01609, United States^2

Department of Physics, Grinnell College, Grinnell

IA

50112, United States^3

Department of Physics, Arizona State University, Tempe

AZ

85287, United States^4

关键词: Asymptotic symmetry;    Bekenstein-Hawking entropy;    Classical solutions;    Conformal field theories;    Diffeomorphic;    Energy-momentum tensor;    Microstates;    Virasoro algebra;   

Others  :  https://iopscience.iop.org/article/10.1088/1742-6596/698/1/012010/pdf
DOI  :  10.1088/1742-6596/698/1/012010

来源: IOP

【 摘 要 】

We study the thermodynamics of near horizon near extremal Kerr (NHNEK) geometry within the framework of AdS2/CFT1correspondence. 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 AdS2boundary and compute the full asymptotic symmetry group of the two-dimensional quantum conformal field theory on the respective AdS2boundary. 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.