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Conformal symmetry for general black holes

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Abstract

We show that the warp factor of a generic asymptotically flat black hole in five dimensions can be adjusted such that a conformal symmetry emerges. The construction preserves all near horizon properties of the black holes, such as the thermodynamic potentials and the entropy. We interpret the geometry with modified asymptotic behavior as the “bare” black hole, with the ambient flat space removed. Our warp factor subtraction generalizes hidden conformal symmetry and applies whether or not rotation is significant. We also find a relation to standard AdS/CFT correspondence by embedding the black holes in six dimensions. The asymptotic conformal symmetry guarantees a dual CFT description of the general rotating black holes.

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References

  1. M. Cvetič and F. Larsen, General rotating black holes in string theory: Grey body factors and event horizons, Phys. Rev. D 56 (1997) 4994 [hep-th/9705192] [INSPIRE].

    ADS  Google Scholar 

  2. J.M. Maldacena and A. Strominger, Black hole grey body factors and D-brane spectroscopy, Phys. Rev. D 55 (1997) 861 [hep-th/9609026] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  3. M. Guica, T. Hartman, W. Song and A. Strominger, The Kerr/CFT Correspondence, Phys. Rev. D 80 (2009) 124008 [arXiv:0809.4266] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  4. M. Cvetič and F. Larsen, Greybody Factors and Charges in Kerr/CFT, JHEP 09 (2009) 088 [arXiv:0908.1136] [INSPIRE].

    Article  ADS  Google Scholar 

  5. A. Castro, A. Maloney and A. Strominger, Hidden Conformal Symmetry of the Kerr Black Hole, Phys. Rev. D 82 (2010) 024008 [arXiv:1004.0996] [INSPIRE].

    MathSciNet  ADS  Google Scholar 

  6. C. Krishnan, Hidden Conformal Symmetries of Five-Dimensional Black Holes, JHEP 07 (2010) 039 [arXiv:1004.3537] [INSPIRE].

    Article  ADS  Google Scholar 

  7. D. Chen, P. Wang and H. Wu, Hidden conformal symmetry of rotating charged black holes, Gen. Rel. Grav. 43 (2011) 181 [arXiv:1005.1404] [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

  8. M. Becker, S. Cremonini and W. Schulgin, Correlation Functions and Hidden Conformal Symmetry of Kerr Black Holes, JHEP 09 (2010) 022 [arXiv:1005.3571] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  9. H. Wang, D. Chen, B. Mu and H. Wu, Hidden conformal symmetry of extreme and non-extreme Einstein-Maxwell-Dilaton-Axion black holes, JHEP 11 (2010) 002 [arXiv:1006.0439] [INSPIRE].

    Google Scholar 

  10. C.-M. Chen, Y.-M. Huang, J.-R. Sun, M.-F. Wu and S.-J. Zou, On Holographic Dual of the Dyonic Reissner-Nordstrom Black Hole, Phys. Rev. D 82 (2010) 066003 [arXiv:1006.4092] [INSPIRE].

    ADS  Google Scholar 

  11. I. Agullo, J. Navarro-Salas, G.J. Olmo and L. Parker, Hawking radiation by Kerr black holes and conformal symmetry, Phys. Rev. Lett. 105 (2010) 211305 [arXiv:1006.4404] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  12. K.-N. Shao and Z. Zhang, Hidden Conformal Symmetry of Rotating Black Hole with four Charges, Phys. Rev. D 83 (2011) 106008 [arXiv:1008.0585] [INSPIRE].

    ADS  Google Scholar 

  13. A. Ghezelbash, V. Kamali and M. Setare, Hidden Conformal Symmetry of Kerr-Bolt Spacetimes, Phys. Rev. D 82 (2010) 124051 [arXiv:1008.2189] [INSPIRE].

    ADS  Google Scholar 

  14. D.A. Lowe, I. Messamah and A. Skanata, Scaling dimensions in hidden Kerr/CFT, Phys. Rev. D 84 (2011) 024030 [arXiv:1105.2035] [INSPIRE].

    ADS  Google Scholar 

  15. S. Bertini, S.L. Cacciatori and D. Klemm, Conformal structure of the Schwarzschild black hole, arXiv:1106.0999 [INSPIRE].

  16. M. Cvetič and F. Larsen, Near horizon geometry of rotating black holes in five-dimensions, Nucl. Phys. B 531 (1998) 239 [hep-th/9805097] [INSPIRE].

    Article  ADS  Google Scholar 

  17. F. Larsen, A String model of black hole microstates, Phys. Rev. D 56 (1997) 1005 [hep-th/9702153] [INSPIRE].

    ADS  Google Scholar 

  18. M. Cvetič, G. Gibbons and C. Pope, Universal Area Product Formulae for Rotating and Charged Black Holes in Four and Higher Dimensions, Phys. Rev. Lett. 106 (2011) 121301 [arXiv:1011.0008] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  19. M. Cvetič and D. Youm, General rotating five-dimensional black holes of toroidally compactified heterotic string, Nucl. Phys. B 476 (1996) 118 [hep-th/9603100] [INSPIRE].

    Article  ADS  Google Scholar 

  20. M. Cvetič and C.M. Hull, Black holes and U duality, Nucl. Phys. B 480 (1996) 296 [hep-th/9606193] [INSPIRE].

    Article  ADS  Google Scholar 

  21. Z. Chong, M. Cvetič, H. Lü and C. Pope, Non-extremal rotating black holes in five-dimensional gauged supergravity, Phys. Lett. B 644 (2007) 192 [hep-th/0606213] [INSPIRE].

    ADS  Google Scholar 

  22. I. Bredberg, T. Hartman, W. Song and A. Strominger, Black Hole Superradiance From Kerr/CFT, JHEP 04 (2010) 019 [arXiv:0907.3477] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  23. M. Cvetič and F. Larsen, Conformal Symmetry for Black Holes in Four Dimensions, arXiv:1112.4846 [INSPIRE].

  24. M. Cvetič and G. Gibbons, Conformal Symmetry of a Black Hole as a Scaling Limit: A Black Hole in an Asymptotically Conical Box, arXiv:1201.0601 [INSPIRE].

  25. J. D. Brown and M. Henneaux, Central Charges in the Canonical Realization of Asymptotic Symmetries: An Example from Three-Dimensional Gravity, Commun. Math. Phys. 104 (1986) 207.

    Article  MathSciNet  ADS  MATH  Google Scholar 

  26. A. Strominger, Black hole entropy from near horizon microstates, JHEP 02 (1998) 009 [hep-th/9712251] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  27. R. Dijkgraaf, J.M. Maldacena, G.W. Moore and E.P. Verlinde, A Black hole Farey tail, hep-th/0005003 [INSPIRE].

  28. P. Kraus and F. Larsen, Microscopic black hole entropy in theories with higher derivatives, JHEP 09 (2005) 034 [hep-th/0506176] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  29. V. Balasubramanian and F. Larsen, Near horizon geometry and black holes in four-dimensions, Nucl. Phys. B 528 (1998) 229 [hep-th/9802198] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  30. F. Larsen, The Attractor Mechanism in Five Dimensions, Lect. Notes Phys. 755 (2008) 249 [hep-th/0608191] [INSPIRE].

    ADS  Google Scholar 

  31. J.M. Maldacena and L. Maoz, Desingularization by rotation, JHEP 12 (2002) 055 [hep-th/0012025] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  32. V. Balasubramanian, J. de Boer, E. Keski-Vakkuri and S.F. Ross, Supersymmetric conical defects: Towards a string theoretic description of black hole formation, Phys. Rev. D 64 (2001) 064011 [hep-th/0011217] [INSPIRE].

    ADS  Google Scholar 

  33. O. Lunin, J.M. Maldacena and L. Maoz, Gravity solutions for the D1 − D5 system with angular momentum, hep-th/0212210 [INSPIRE].

  34. J.M. Maldacena and L. Susskind, D-branes and fat black holes, Nucl. Phys. B 475 (1996) 679 [hep-th/9604042] [INSPIRE].

    Article  MathSciNet  ADS  Google Scholar 

  35. R. Emparan and H.S. Reall, Black Rings, Class. Quant. Grav. 23 (2006) R169 [hep-th/0608012]. [INSPIRE].

    Article  MathSciNet  ADS  MATH  Google Scholar 

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Correspondence to Mirjam Cvetič.

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ArXiv ePrint: 1106.3341

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Cvetič, M., Larsen, F. Conformal symmetry for general black holes. J. High Energ. Phys. 2012, 122 (2012). https://doi.org/10.1007/JHEP02(2012)122

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