Correlation functions and hidden conformal symmetry of Kerr black holes

M Becker, S Cremonini, W Schulgin - Journal of High Energy Physics, 2010 - Springer
M Becker, S Cremonini, W Schulgin
Journal of High Energy Physics, 2010Springer
Extremal scalar three-point correlators in the near-NHEK geometry of Kerr black holes have
recently been shown to agree with the result expected from a holographically dual non-
chiral two-dimensional conformal field theory. In this paper we extend this calculation to
extremal three-point functions of scalars in a general Kerr black hole which need not obey
the extremality condition\(M=\sqrt {J}\). It was recently argued that for low frequency scalars
in the Kerr geometry there is a dual conformal field theory description which determines the …
Abstract
Extremal scalar three-point correlators in the near-NHEK geometry of Kerr black holes have recently been shown to agree with the result expected from a holographically dual non-chiral two-dimensional conformal field theory. In this paper we extend this calculation to extremal three-point functions of scalars in a general Kerr black hole which need not obey the extremality condition. It was recently argued that for low frequency scalars in the Kerr geometry there is a dual conformal field theory description which determines the interactions in this regime. Our results support this conjecture. Furthermore, we formulate a recipe for calculating finite-temperature retarded three-point correlation functions which is applicable to a large class of (even non-extremal) correlators, and discuss the vanishing of the extremal couplings.
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