Hidden Conformal Symmetry of Warped AdS_3 Black Holes

Understand

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.