Conformal Symmetries on the Horizon and Black Hole Entropy in Generic Dimensions

  • Jianwei MeiEmail author
Conference paper
Part of the Springer Proceedings in Physics book series (SPPHY, volume 157)


In this short note I briefly summarize some recent results regardingconformal symmetries on the horizon of general stationary and axisymmetric black holes in generic dimensions.


Black Hole Conformal Symmetry Black Hole Entropy Conformal Field Theory Black Hole Horizon 
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  1. 1.
    Carlip, S.: Symmetries, horizons, and black hole entropy. Gen. Relativ. Gravit. 39, 1519 (2007). doi: 10.1007/s10714-007-0467-6 ADSCrossRefzbMATHMathSciNetGoogle Scholar
  2. 2.
    Brown, J., Henneaux, M.: Central charges in the canonical realization of asymptotic symmetries: an example from three-dimensional gravity. Commun. Math. Phys. 104, 207 (1986)ADSCrossRefzbMATHMathSciNetGoogle Scholar
  3. 3.
    Strominger, A.: Black hole entropy from near-horizon microstates. J. High Energy Phys. 1998(02), 009 (1998). doi: 10.1088/1126-6708/1998/02/009 CrossRefMathSciNetGoogle Scholar
  4. 4.
    Carlip, S.: Black hole entropy from conformal field theory in any dimension. Phys. Rev. Lett. 82, 2828 (1999). doi: 10.1103/PhysRevLett.82.2828 ADSCrossRefzbMATHMathSciNetGoogle Scholar
  5. 5.
    Guica, M., Hartman, T., Song, W., Strominger, A.: The Kerr/CFT correspondence. Phys. Rev. D 80, 124008 (2009). doi: 10.1103/PhysRevD.80.124008 ADSCrossRefMathSciNetGoogle Scholar
  6. 6.
    Chow, D., Cvetič, M., Lu, H., Pope, C.: Extremal black hole/CFT correspondence in (gauged) supergravities. Phys. Rev. D 79, 084018 (2009). doi: 10.1103/PhysRevD.79.084018 ADSCrossRefMathSciNetGoogle Scholar
  7. 7.
    Mei, J.: The entropy for general extremal black holes. J. High Energy Phys. 2010(04), 005 (2010). doi: 10.1007/JHEP04(2010)005 CrossRefGoogle Scholar
  8. 8.
    Lü, H., Mei, J., Pope, C.: Kerr-AdS/CFT correspondence in diverse dimensions. J. High Energy Phys. 2009(04), 054 (2009). doi: 10.1088/1126-6708/2009/04/054 CrossRefGoogle Scholar
  9. 9.
    Carlip, S.: Extremal and nonextremal Kerr/CFT correspondences. J. High Energy Phys. 2011(04), 076 (2011). doi: 10.1007/JHEP04(2011)076 ADSCrossRefMathSciNetGoogle Scholar
  10. 10.
    Mei, J.: On the general Kerr/CFT correspondence in arbitrary dimensions. J. High Energy Phys. 2012(04), 113 (2012). doi: 10.1007/JHEP04(2012)113 CrossRefGoogle Scholar
  11. 11.
    Amsel, A., Horowitz, G., Marolf, D., Roberts, M.: No dynamics in the extremal Kerr throat. J. High Energy Phys. 2009(09), 044 (2009). doi: 10.1088/1126-6708/2009/09/044 ADSCrossRefMathSciNetGoogle Scholar
  12. 12.
    Dias, O., Reall, H., Santos, J.: Kerr-CFT and gravitational perturbations. J. High Energy Phys. 2009(08), 101 (2009). doi: 10.1088/1126-6708/2009/08/101 CrossRefMathSciNetGoogle Scholar
  13. 13.
    Castro, A., Maloney, A., Strominger, A.: Hidden conformal symmetry of the Kerr black hole. Phys. Rev. D 82, 024008 (2010). doi: 10.1103/PhysRevD.82.024008 ADSCrossRefMathSciNetGoogle Scholar
  14. 14.
    Cvetic, M., Larsen, F.: Conformal symmetry for general black holes. J. High Energy Phys. 2012(02), 122 (2012). doi: 10.1007/JHEP02(2012)122 CrossRefMathSciNetGoogle Scholar
  15. 15.
    Mei, J.: Conformal symmetries of the Einstein-Hilbert action on horizons of stationary and axisymmetric black holes. Class. Quantum Grav. 29, 095020 (2012)ADSCrossRefGoogle Scholar
  16. 16.
    Carlip, S.: Near horizon conformal symmetry and black hole entropy. Phys. Rev. Lett. 88, 241301 (2002). doi: 10.1103/PhysRevLett.88.241301 ADSCrossRefMathSciNetGoogle Scholar

Copyright information

© Springer International Publishing Switzerland 2014

Authors and Affiliations

  1. 1.Max Planck Institute for Gravitational Physics (Albert Einstein Institute)GolmGermany

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