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5D Extremal Rotating Black Holes and CFT duals

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arxiv 0901.1595 v3 pith:RDCQMGV2 submitted 2009-01-12 hep-th

5D Extremal Rotating Black Holes and CFT duals

classification hep-th
keywords blackcorrespondingdualsextremalholeshorizonnearchiral
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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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.

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Cited by 1 Pith paper

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  1. Monodromy, Hidden Conformal Symmetry and Soft Hair in Kerr-MOG Black Hole

    hep-th 2026-07 conditional novelty 4.0

    Kerr-MOG black holes are claimed to admit a 2D CFT dual with temperatures TL and TR and central charge 12J, reproducing the Bekenstein-Hawking entropy and scalar absorption cross section.