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Hidden Conformal Symmetry of Warped AdS_3 Black Holes

by: Reza Fareghbal
Physics Letters B, Vol. 694, No. 2. (12 Oct 2010), pp. 138-142, doi:10.1016/j.physletb.2010.09.043  Key: citeulike:7901801

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Abstract

We show that for a certain low frequency limit the wave equation of a generic massive scalar field in the background of the spacelike warped AdS_3 black hole can be written as the Casimir of an SL(2,R) symmetry. Two sets of SL(2,R) generators are found which uncover the hidden SL(2,R)× SL(2,R) symmetry of the solution. This symmetry is only locally defined and is spontaneously broken to U(1)× U(1) by a periodic identification of the φ coordinate. By using the generator of the identification we read the left and right temperatures (T_L,T_R) of the proposed dual conformal field theory which are in complete agreement with the WAdS/CFT conjecture. Moreover, under the above condition of the scalar wave frequency, absorption cross section of the scalar field is consistent with the two-point function of the dual CFT.


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