Hidden Conformal Symmetry of Warped AdS_3 Black Holes
arXiv:1006.4034 · doi:10.1016/j.physletb.2010.09.043
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)\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 ϕcoordinate. 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.
12 pages; V2: references added, minor correction; V3: published version, minor clarification in section 3, typos corrected, one reference added
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- Black Holes in Born-Infeld Extended New Massive Gravity
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- Generalized hidden Kerr/CFT
- Zeta(n) via hyperbolic functions
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- Tensor Fields on Self-Dual Warped Background