Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2010-05-19
JHEP 1009:022,2010
Physics
High Energy Physics
High Energy Physics - Theory
16 pages
Scientific paper
10.1007/JHEP09(2010)022
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 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.
Becker Melanie
Cremonini Sera
Schulgin Waldemar
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