%0 Generic %1 haco2018black %A Haco, Sasha %A Hawking, Stephen W. %A Perry, Malcolm J. %A Strominger, Andrew %D 2018 %K read %T Black Hole Entropy and Soft Hair %U http://arxiv.org/abs/1810.01847 %X A set of infinitesimal $Virasoro_\,LVirasoro_\,R$ diffeomorphisms are presented which act non-trivially on the horizon of a generic Kerr black hole with spin J. The covariant phase space formalism provides a formula for the Virasoro charges as surface integrals on the horizon. Integrability and associativity of the charge algebra are shown to require the inclusion of `Wald-Zoupas' counterterms. A counterterm satisfying the known consistency requirement is constructed and yields central charges $c_L=c_R=12J$. Assuming the existence of a quantum Hilbert space on which these charges generate the symmetries, as well as the applicability of the Cardy formula, the central charges reproduce the macroscopic area-entropy law for generic Kerr black holes.

@misc{haco2018black, abstract = {A set of infinitesimal ${\rm Virasoro_{\,L}}\otimes{\rm Virasoro_{\,R}}$ diffeomorphisms are presented which act non-trivially on the horizon of a generic Kerr black hole with spin J. The covariant phase space formalism provides a formula for the Virasoro charges as surface integrals on the horizon. Integrability and associativity of the charge algebra are shown to require the inclusion of `Wald-Zoupas' counterterms. A counterterm satisfying the known consistency requirement is constructed and yields central charges $c_L=c_R=12J$. Assuming the existence of a quantum Hilbert space on which these charges generate the symmetries, as well as the applicability of the Cardy formula, the central charges reproduce the macroscopic area-entropy law for generic Kerr black holes.}, added-at = {2018-10-14T11:02:11.000+0200}, author = {Haco, Sasha and Hawking, Stephen W. and Perry, Malcolm J. and Strominger, Andrew}, biburl = {https://www.bibsonomy.org/bibtex/253fb715148f98178ec06dcc9e6e0a73a/supremefacist}, description = {1810.01847.pdf}, interhash = {706e833b4d58a43efd67c0d80a3ebb06}, intrahash = {53fb715148f98178ec06dcc9e6e0a73a}, keywords = {read}, note = {cite arxiv:1810.01847}, timestamp = {2018-10-14T11:02:11.000+0200}, title = {Black Hole Entropy and Soft Hair}, url = {http://arxiv.org/abs/1810.01847}, year = 2018 }