Hidden Conformal Symmetry of Warped AdS_3 Black Holes

Details Hidden Conformal Symmetry of Warped AdS_3 Black Holes Hidden Conformal Symmetry of Warped AdS_3 Black Holes

2010-06-21

arxiv.org/abs/1006.4034v3

Physics Letters B 694 (2010) pp. 138-142

Physics

High Energy Physics

High Energy Physics - Theory

12 pages; V2: references added, minor correction; V3: published version, minor clarification in section 3, typos corrected, on

Scientific paper

10.1016/j.physletb.2010.09.043

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)\times SL(2,R) symmetry of the solution. This symmetry is only locally defined and is spontaneously broken to U(1)\times U(1) by a periodic identification of the \phi 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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