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
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].
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].
M. Guica, T. Hartman, W. Song and A. Strominger, The Kerr/CFT Correspondence, Phys. Rev. D 80 (2009) 124008 [arXiv:0809.4266] [INSPIRE].
M. Cvetič and F. Larsen, Greybody Factors and Charges in Kerr/CFT, JHEP 09 (2009) 088 [arXiv:0908.1136] [INSPIRE].
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].
C. Krishnan, Hidden Conformal Symmetries of Five-Dimensional Black Holes, JHEP 07 (2010) 039 [arXiv:1004.3537] [INSPIRE].
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].
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].
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].
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].
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].
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].
A. Ghezelbash, V. Kamali and M. Setare, Hidden Conformal Symmetry of Kerr-Bolt Spacetimes, Phys. Rev. D 82 (2010) 124051 [arXiv:1008.2189] [INSPIRE].
D.A. Lowe, I. Messamah and A. Skanata, Scaling dimensions in hidden Kerr/CFT, Phys. Rev. D 84 (2011) 024030 [arXiv:1105.2035] [INSPIRE].
S. Bertini, S.L. Cacciatori and D. Klemm, Conformal structure of the Schwarzschild black hole, arXiv:1106.0999 [INSPIRE].
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].
F. Larsen, A String model of black hole microstates, Phys. Rev. D 56 (1997) 1005 [hep-th/9702153] [INSPIRE].
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].
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].
M. Cvetič and C.M. Hull, Black holes and U duality, Nucl. Phys. B 480 (1996) 296 [hep-th/9606193] [INSPIRE].
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].
I. Bredberg, T. Hartman, W. Song and A. Strominger, Black Hole Superradiance From Kerr/CFT, JHEP 04 (2010) 019 [arXiv:0907.3477] [INSPIRE].
M. Cvetič and F. Larsen, Conformal Symmetry for Black Holes in Four Dimensions, arXiv:1112.4846 [INSPIRE].
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].
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.
A. Strominger, Black hole entropy from near horizon microstates, JHEP 02 (1998) 009 [hep-th/9712251] [INSPIRE].
R. Dijkgraaf, J.M. Maldacena, G.W. Moore and E.P. Verlinde, A Black hole Farey tail, hep-th/0005003 [INSPIRE].
P. Kraus and F. Larsen, Microscopic black hole entropy in theories with higher derivatives, JHEP 09 (2005) 034 [hep-th/0506176] [INSPIRE].
V. Balasubramanian and F. Larsen, Near horizon geometry and black holes in four-dimensions, Nucl. Phys. B 528 (1998) 229 [hep-th/9802198] [INSPIRE].
F. Larsen, The Attractor Mechanism in Five Dimensions, Lect. Notes Phys. 755 (2008) 249 [hep-th/0608191] [INSPIRE].
J.M. Maldacena and L. Maoz, Desingularization by rotation, JHEP 12 (2002) 055 [hep-th/0012025] [INSPIRE].
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].
O. Lunin, J.M. Maldacena and L. Maoz, Gravity solutions for the D1 − D5 system with angular momentum, hep-th/0212210 [INSPIRE].
J.M. Maldacena and L. Susskind, D-branes and fat black holes, Nucl. Phys. B 475 (1996) 679 [hep-th/9604042] [INSPIRE].
R. Emparan and H.S. Reall, Black Rings, Class. Quant. Grav. 23 (2006) R169 [hep-th/0608012]. [INSPIRE].
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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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DOI: https://doi.org/10.1007/JHEP02(2012)122