%0 Journal Article %1 Castro2010Hidden %A Castro, Alejandra %A Maloney, Alexander %A Strominger, Andrew %D 2010 %J Physical Review D %K hcs, kerr-cft, kerrbh %N 2 %R 10.1103/physrevd.82.024008 %T Hidden Conformal Symmetry of the Kerr Black Hole %U http://dx.doi.org/10.1103/physrevd.82.024008 %V 82 %X Extreme and very-near-extreme spin J Kerr black holes have been conjectured to be holographically dual to two-dimensional (2D) conformal field theories (CFTs) with left and right central charges c\_L=c\_R=12J. In this paper it is observed that the 2D conformal symmetry of the scalar wave equation at low frequencies persists for generic non-extreme values of the mass M. Interestingly, this conformal symmetry is not derived from a conformal symmetry of the spacetime geometry except in the extreme limit. The periodic identification of the azimuthal angle is shown to correspond to a spontaneous breaking of the conformal symmetry by left and right temperatures (T\_L,T\_R). The well-known low-frequency scalar-Kerr scattering amplitudes coincide with correlators of a 2D CFT at these temperatures. Moreover the CFT microstate degeneracy inferred from the Cardy formula agrees exactly with the Bekenstein-Hawking area law for all M and J. These observations provide evidence for the conjecture that the Kerr black hole is dual to a c\_L=c\_R=12J 2D CFT at temperatures (T\_L,T\_R) for every value of M and J.

@article{Castro2010Hidden, abstract = {{Extreme and very-near-extreme spin J Kerr black holes have been conjectured to be holographically dual to two-dimensional (2D) conformal field theories (CFTs) with left and right central charges c\_L=c\_R=12J. In this paper it is observed that the 2D conformal symmetry of the scalar wave equation at low frequencies persists for generic non-extreme values of the mass M. Interestingly, this conformal symmetry is not derived from a conformal symmetry of the spacetime geometry except in the extreme limit. The periodic identification of the azimuthal angle is shown to correspond to a spontaneous breaking of the conformal symmetry by left and right temperatures (T\_L,T\_R). The well-known low-frequency scalar-Kerr scattering amplitudes coincide with correlators of a 2D CFT at these temperatures. Moreover the CFT microstate degeneracy inferred from the Cardy formula agrees exactly with the Bekenstein-Hawking area law for all M and J. These observations provide evidence for the conjecture that the Kerr black hole is dual to a c\_L=c\_R=12J 2D CFT at temperatures (T\_L,T\_R) for every value of M and J.}}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Castro, Alejandra and Maloney, Alexander and Strominger, Andrew}, biburl = {https://www.bibsonomy.org/bibtex/2b82aaf56b6436b0977a848d7c23f6ef6/acastro}, citeulike-article-id = {6994970}, citeulike-linkout-0 = {http://arxiv.org/abs/1004.0996}, citeulike-linkout-1 = {http://arxiv.org/pdf/1004.0996}, citeulike-linkout-2 = {http://dx.doi.org/10.1103/physrevd.82.024008}, day = 7, doi = {10.1103/physrevd.82.024008}, eprint = {1004.0996}, interhash = {24ed24c41404efe8fc0f278d780181cb}, intrahash = {b82aaf56b6436b0977a848d7c23f6ef6}, journal = {Physical Review D}, keywords = {hcs, kerr-cft, kerrbh}, month = apr, number = 2, posted-at = {2010-06-21 00:17:20}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{Hidden Conformal Symmetry of the Kerr Black Hole}}, url = {http://dx.doi.org/10.1103/physrevd.82.024008}, volume = 82, year = 2010 }