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5D Extremal Rotating Black Holes and CFT duals
Kerr/CFT correspondence has been recently applied to various types of 5D
extremal rotating black holes. A common feature of all such examples is the
existence of two chiral CFT duals corresponding to the U(1) symmetries of the
near horizon geometry. In this paper, by studying the moduli space of the near
horizon metric of five dimensional extremal black holes which are
asymptotically flat or AdS, we realize an SL(2,Z) modular group which is a
symmetry of the near horizon geometry. We show that there is a lattice of
chiral CFT duals corresponding to the moduli points identified under the action
of the modular group. The microscopic entropy corresponding to all such CFTs
are equivalent and are in agreement with the Bekenstein-Hawking entropy.Comment: 10 pages, the consistency of the boundary condition is explicitly
shown in a new sectio