%0 Journal Article %1 Becker2010Correlation %A Becker, Melanie %A Cremonini, Sera %A Schulgin, Waldemar %D 2010 %K hcs %T Correlation Functions and Hidden Conformal Symmetry of Kerr Black Holes %U http://arxiv.org/abs/1005.3571 %X 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=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.

@article{Becker2010Correlation, 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 \$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.}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Becker, Melanie and Cremonini, Sera and Schulgin, Waldemar}, biburl = {https://www.bibsonomy.org/bibtex/22a60db755667108f6ef413ddd578ca8f/acastro}, citeulike-article-id = {7349121}, citeulike-linkout-0 = {http://arxiv.org/abs/1005.3571}, citeulike-linkout-1 = {http://arxiv.org/pdf/1005.3571}, day = 19, eprint = {1005.3571}, interhash = {cc977cd3fe815b789b03d3ee395de714}, intrahash = {2a60db755667108f6ef413ddd578ca8f}, keywords = {hcs}, month = may, posted-at = {2010-06-22 16:14:57}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{Correlation Functions and Hidden Conformal Symmetry of Kerr Black Holes}}, url = {http://arxiv.org/abs/1005.3571}, year = 2010 }