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Entropy of Kaluza-Klein Black Hole from Kerr/CFT Correspondence

2010/04/30 by Ran Li, Ming-Fan Li, Ji-Rong Ren
Physics and Astronomy · #hep-th

paper · pdf · doi:10.1016/j.physletb.2010.06.031

published as Phys. Lett. B691:249-253, 2010 · 13pages, no figure, published version

arxiv created 2010/07/21 · arxiv updated 2015/03/16

Abstract

We extend the recently proposed Kerr/CFT correspondence to examine the dual conformal field theory of Kaluza-Klein black hole. For the extremal Kaluza-Klein black hole, the central charge and temperature of the dual conformal field are calculated, and the microscopic entropy calculated by using Cardy formula agrees with the Bekenstein-Hawking entropy of extremal Kaluza-Klein black hole. For the non-extremal case, we investigate the hidden conformal symmetry of Kaluza-Klein black hole by studying the near-region wave equation of a neutral massless scalar field, and find the left and right temperatures of dual conformal field theory. Furthermore, the entropy of non-extremal Kaluza-Klein black hole is reproduced by using Cardy formula.

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