Eur. Phys. J. C (2011) 71: 1566
https://doi.org/10.1140/epjc/s10052-011-1566-9

Regular Article - Theoretical Physics

Hidden conformal symmetry of self-dual warped AdS₃ black holes in topological massive gravity

¹ Institute of Modern Physics, Chinese Academy of Sciences, Lanzhou, 730000, China
² Zhejiang Institute of Modern Physics, Department of Physics, Zhejiang University, Hangzhou, 310027, China
³ Institute of Theoretical Physics, Lanzhou University, Lanzhou, 730000, China

^* e-mail: liran05@lzu.cn

Received: 2 December 2010
Revised: 31 January 2011
Published online: 22 February 2011

Abstract

We extend the recently proposal of hidden conformal symmetry to the self-dual warped AdS₃ black holes in topological massive gravity. It is shown that the wave equation of massive scalar field with sufficient small angular momentum can be reproduced by the SL(2, R) Casimir quadratic operator. Due to the periodic identification in the φ direction, it is found that only the left section of hidden conformal symmetry is broken to U(1), while the right section is unbroken, which only gives the left temperature of dual CFT. As a check of the dual CFT conjecture of self-warped AdS₃ black hole, we further compute the Bekenstein–Hawking entropy and absorption cross section and quasinormal modes of scalar field perturbation and show these are just of the forms predicted by the dual CFT.