%0 Journal Article %1 Lowe2011Generalized %A Lowe, David A. %A Skanata, Antun %D 2011 %K arxiv, hcs, kerr-cft %T Generalized hidden Kerr/CFT %U http://arxiv.org/abs/1112.1431 %X We construct a family of vector fields that generate local symmetries in the solution space of low frequency massless field perturbations in the general Kerr geometry. This yields a one-parameter family of SL(2,R)x SL(2,R) algebras, generalizing earlier work of Castro, Maloney and Strominger. We identify limits in which the SL(2,R)xSL(2,R) algebra contracts to an SL(2,R) symmetry of the Schwarzschild background. If we assume the SL(2,R) factors lift to Virasoro algebras in the quantum theory, the Kerr black hole entropy is reproduced. We note that for a particular value of our new free parameter, the symmetry algebra generates the quasinormal mode spectrum of a Kerr black hole in the large damping limit, suggesting a connection between the hidden conformal symmetry and a fundamental CFT underlying the quantum Kerr black hole.

@article{Lowe2011Generalized, abstract = {{We construct a family of vector fields that generate local symmetries in the solution space of low frequency massless field perturbations in the general Kerr geometry. This yields a one-parameter family of SL(2,R)x SL(2,R) algebras, generalizing earlier work of Castro, Maloney and Strominger. We identify limits in which the SL(2,R)xSL(2,R) algebra contracts to an SL(2,R) symmetry of the Schwarzschild background. If we assume the SL(2,R) factors lift to Virasoro algebras in the quantum theory, the Kerr black hole entropy is reproduced. We note that for a particular value of our new free parameter, the symmetry algebra generates the quasinormal mode spectrum of a Kerr black hole in the large damping limit, suggesting a connection between the hidden conformal symmetry and a fundamental CFT underlying the quantum Kerr black hole.}}, added-at = {2019-02-26T10:37:35.000+0100}, archiveprefix = {arXiv}, author = {Lowe, David A. and Skanata, Antun}, biburl = {https://www.bibsonomy.org/bibtex/237446788ab7a5fe9fd221317a9a5076b/acastro}, citeulike-article-id = {10105368}, citeulike-linkout-0 = {http://arxiv.org/abs/1112.1431}, citeulike-linkout-1 = {http://arxiv.org/pdf/1112.1431}, day = 6, eprint = {1112.1431}, interhash = {10cbe63a3abec7da58de072c6110b568}, intrahash = {37446788ab7a5fe9fd221317a9a5076b}, keywords = {arxiv, hcs, kerr-cft}, month = dec, posted-at = {2011-12-08 15:04:50}, priority = {2}, timestamp = {2019-02-26T10:37:35.000+0100}, title = {{Generalized hidden Kerr/CFT}}, url = {http://arxiv.org/abs/1112.1431}, year = 2011 }