Correlation Functions and Hidden Conformal Symmetry of Kerr Black Holes
arXiv:1005.3571 · doi:10.1007/JHEP09(2010)022
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.
16 pages
References in corpus (9)
- Minkowski-space correlators in AdS/CFT correspondence: recipe and applications
- Schwinger-Keldysh Propagators from AdS/CFT Correspondence
- Warped AdS_3 Black Holes
- Near-horizon symmetries of extremal black holes
- Real-time response in AdS/CFT with application to spinors
- Kerr-AdS/CFT Correspondence in Diverse Dimensions
- Greybody Factors and Charges in Kerr/CFT
- Kaluza-Klein Holography
- Another Realization of Kerr/CFT Correspondence
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- Hidden Conformal Symmetry of Rotating Black Hole with four Charges
- Hidden Conformal Symmetry of Extremal Kerr-Bolt Spacetimes
- Zeta(n) via hyperbolic functions
- Notes on the Hidden Conformal Symmetry in the Near Horizon Geometry of the Kerr Black Hole
- New Near Horizon Limit in Kerr/CFT
- Hidden Conformal Symmetry of Rotating Black Holes in Minimal Five-Dimensional Gauged Supergravity
- Hidden conformal symmetry of extremal Kaluza-Klein black hole in four dimensions
- Holographic description of three dimensional Godel black hole
- An Analysis of the Wave Equation for the Gauged Supergravity Black Hole