arXiv:1009.3139v1 [hep-th] 16 Sep 2010 Preprint typeset in JHEP style - HYPER VERSION Holographic Dual of Linear Dilaton Black Hole in Einstein-Maxwell-Dilaton-Axion Gravity Ran Li Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 730000, Gansu, China liran05@lzu.cn Ji-Rong Ren Institute of Theoretical Physics, Lanzhou University, Lanzhou, 730000, Gansu, China renjr@lzu.edu.cn Abstract:Motivated by the recently proposed Kerr/CFT correspondence, we investigate the holographic dual of the extremal and non-extremal rotating linear dilaton black hole in Einstein-Maxwell-Dilaton-Axion Gravity. For the case of extremal black hole, by imposing the appropriate boundary condition at spatial infinity of the near horizon extremal geom- etry, the Virasoro algebra of conserved charges associated with the asymptotic symmetry group is obtained. It is shown that the microscopic entropy of the dual conformal field given by Cardy formula exactly agrees with Bekenstein-Hawking entropy of extremal black hole. Then, by rewriting the wave equation of massless scalar field with sufficient low energy as the SL(2, R)L×SL(2, R)RCasimir operator, we find the hidden conformal symmetry of the non-extremal linear dilaton black hole, which implies that the non-extremal rotating linear dilaton black hole is holographically dual to a two dimensional conformal field theory with the non-zero left and right temperatures. Furthermore, it is shown that the entropy of non-extremal black hole can be reproduced by using Cardy formula.
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