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5D Extremal Rotating Black Holes and CFT duals · Around

2009

5D Extremal Rotating Black Holes and CFT duals

Loran, F., Soltanpanahi, H.

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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.

Built on

J. D. Brown and M. Henneaux, Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity
1986
Earlier work this paper cites.
V.P. Frolov and K.S. Thorne, Renormalized stress-energy tensor near the horizon of a slowly evolving, rotating black hole
1989
Earlier work this paper cites.
A. Strominger and C. Vafa, Microscopic Origin of the Bekenstein-Hawking Entropy
1996
Earlier work this paper cites.
A. Strominger, Black Hole Entropy from Near-Horizon Microstates
1998
Earlier work this paper cites.

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F. Loran, H. Soltanpanahi, Near the horizon of 5D black rings
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Then

G. Barnich and F. Brandt, Covariant theory of asymptotic symmetries, conservation laws and central charges
2002
Later among the works it cites.
H. Kunduri, J. Lucietti and H.S. Reall, Near-horizon symmetries of extremal black holes
Original
2007
Later among the works it cites.
G. Barnich and G. Compere, Surface charge algebra in gauge theories and thermodynamic integrability
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Later among the works it cites.

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