A near-NHEK/CFT correspondence - INSPIRE

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A near-NHEK/CFT correspondence

Jorgen Rasmussen
(
- Melbourne U.
)

Apr, 2010

11 pages

Published in:

Int.J.Mod.Phys.A 25 (2010) 5517-5527

e-Print:

1004.4773 [hep-th]

DOI:

10.1142/S0217751X10051001

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Abstract: (arXiv)

We consider excitations around the recently introduced near-NHEK metric describing the near-horizon geometry of the near-extremal four-dimensional Kerr black hole. This geometry has a U(1)_L x U(1)_R isometry group which can be enhanced to a pair of commuting Virasoro algebras. We present boundary conditions for which the conserved charges of the corresponding asymptotic symmetries are well defined and non-vanishing and find the central charges c_L=12J/hbar and c_R=0 where J is the angular momentum of the black hole. Applying the Cardy formula reproduces the Bekenstein-Hawking entropy of the black hole. This suggests that the near-extremal Kerr black hole is holographically dual to a non-chiral two-dimensional conformal field theory.

Note:

11 pages, v2: references updated, added

Kerr/CFT correspondence
black holes
black hole: Kerr
black hole: entropy
field theory: conformal
black hole: angular momentum
black hole: holography
charge: conservation law
duality: holography
algebra: Virasoro

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