Abstract
In this paper, we investigate the holographic descriptions of two kinds of black rings, the neutral doubly rotating black ring and the dipole charged black ring. For generic nonextremal black rings, the information of holographic CFT duals, including the central charges and left- and right-moving temperatures, could be read from the thermodynamics at the outer and inner horizons, as suggested in [20]. To confirm these pictures, we study the extreme black rings in the well-established formalism. We compute the central charges of dual CFTs by doing asymptotic symmetry group analysis in the stretched horizon formalism, and find exact agreements. Moreover, we study the superradiant scattering of a scalar field off the near-extremal black rings and obtain the scattering amplitudes, which are in good match with the CFT predictions.
Article PDF
Similar content being viewed by others
Avoid common mistakes on your manuscript.
References
M. Guica, T. Hartman, W. Song and A. Strominger, The Kerr/CFT correspondence, Phys. Rev. D 80 (2009) 124008 [arXiv:0809.4266] [INSPIRE].
G. Barnich and F. Brandt, Covariant theory of asymptotic symmetries, conservation laws and central charges, Nucl. Phys. B 633 (2002) 3 [hep-th/0111246] [INSPIRE].
G. Barnich and G. Compere, Surface charge algebra in gauge theories and thermodynamic integrability, J. Math. Phys. 49 (2008) 042901 [arXiv:0708.2378] [INSPIRE].
Y. Matsuo, T. Tsukioka and C.-M. Yoo, Another realization of Kerr/CFT correspondence, Nucl. Phys. B 825 (2010) 231 [arXiv:0907.0303] [INSPIRE].
A. Castro and F. Larsen, Near extremal Kerr entropy from AdS 2 quantum gravity, JHEP 12 (2009) 037 [arXiv:0908.1121] [INSPIRE].
H. Lü, J. Mei and C. Pope, Kerr/CFT correspondence in diverse dimensions, JHEP 04 (2009) 054 [arXiv:0811.2225] [INSPIRE].
T. Hartman, K. Murata, T. Nishioka and A. Strominger, CFT duals for extreme black holes, JHEP 04 (2009) 019 [arXiv:0811.4393] [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, Greybody factors and charges in Kerr/CFT, JHEP 09 (2009) 088 [arXiv:0908.1136] [INSPIRE].
T. Hartman, W. Song and A. Strominger, Holographic derivation of Kerr-Newman scattering amplitudes for general charge and spin, JHEP 03 (2010) 118 [arXiv:0908.3909] [INSPIRE].
B. Chen and C.-S. Chu, Real-time correlators in Kerr/CFT correspondence, JHEP 05 (2010) 004 [arXiv:1001.3208] [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].
B. Chen and J. Long, Real-time correlators and hidden conformal symmetry in Kerr/CFT correspondence, JHEP 06 (2010) 018 [arXiv:1004.5039] [INSPIRE].
I. Bredberg, C. Keeler, V. Lysov and A. Strominger, Cargese lectures on the Kerr/CFT correspondence, Nucl. Phys. Proc. Suppl. 216 (2011) 194 [arXiv:1103.2355] [INSPIRE].
G. Compere, The Kerr/CFT correspondence and its extensions: a comprehensive review, arXiv:1203.3561 [INSPIRE].
F. Larsen, A string model of black hole microstates, Phys. Rev. D 56 (1997) 1005 [hep-th/9702153] [INSPIRE].
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].
M. Cvetič and F. Larsen, Grey body factors for rotating black holes in four-dimensions, Nucl. Phys. B 506 (1997) 107 [hep-th/9706071] [INSPIRE].
M. Cvetič, G. Gibbons and C.N. 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].
B. Chen, S.-x. Liu and J.-j. Zhang, Thermodynamics of black hole horizons and Kerr/CFT correspondence, arXiv:1206.2015 [INSPIRE].
R. Emparan and H.S. Reall, A rotating black ring solution in five-dimensions, Phys. Rev. Lett. 88 (2002) 101101 [hep-th/0110260] [INSPIRE].
H. Elvang, A charged rotating black ring, Phys. Rev. D 68 (2003) 124016 [hep-th/0305247] [INSPIRE].
R. Emparan, Rotating circular strings and infinite nonuniqueness of black rings, JHEP 03 (2004) 064 [hep-th/0402149] [INSPIRE].
H. Elvang, R. Emparan, D. Mateos and H.S. Reall, A supersymmetric black ring, Phys. Rev. Lett. 93 (2004) 211302 [hep-th/0407065] [INSPIRE].
H. Elvang, R. Emparan, D. Mateos and H.S. Reall, Supersymmetric black rings and three-charge supertubes, Phys. Rev. D 71 (2005) 024033 [hep-th/0408120] [INSPIRE].
H. Elvang, R. Emparan and P. Figueras, Non-supersymmetric black rings as thermally excited supertubes, JHEP 02 (2005) 031 [hep-th/0412130] [INSPIRE].
A. Pomeransky and R. Sen’kov, Black ring with two angular momenta, hep-th/0612005 [INSPIRE].
R. Emparan and H.S. Reall, Black rings, Class. Quant. Grav. 23 (2006) R169 [hep-th/0608012] [INSPIRE].
R. Emparan and H.S. Reall, Black holes in higher dimensions, Living Rev. Rel. 11 (2008) 6 [arXiv:0801.3471] [INSPIRE].
I. Bena and P. Kraus, Microscopic description of black rings in AdS/CFT, JHEP 12 (2004) 070 [hep-th/0408186] [INSPIRE].
M. Cyrier, M. Guica, D. Mateos and A. Strominger, Microscopic entropy of the black ring, Phys. Rev. Lett. 94 (2005) 191601 [hep-th/0411187] [INSPIRE].
H.S. Reall, Counting the microstates of a vacuum black ring, JHEP 05 (2008) 013 [arXiv:0712.3226] [INSPIRE].
R. Emparan, Exact microscopic entropy of non-supersymmetric extremal black rings, Class. Quant. Grav. 25 (2008) 175005 [arXiv:0803.1801] [INSPIRE].
F. Larsen, Entropy of thermally excited black rings, JHEP 10 (2005) 100 [hep-th/0505152] [INSPIRE].
F. Loran and H. Soltanpanahi, Near the horizon of 5D black rings, JHEP 03 (2009) 035 [arXiv:0810.2620] [INSPIRE].
K. Goldstein and H. Soltanpanahi, CFT duals of black rings with higher derivative terms, Class. Quant. Grav. 29 (2012) 085016 [arXiv:1108.4362] [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 [INSPIRE].
P. Kraus and F. Larsen, Microscopic black hole entropy in theories with higher derivatives, JHEP 09 (2005) 034 [hep-th/0506176] [INSPIRE].
A. Sen, Black hole entropy function and the attractor mechanism in higher derivative gravity, JHEP 09 (2005) 038 [hep-th/0506177] [INSPIRE].
S. Carlip, Extremal and nonextremal Kerr/CFT correspondences, JHEP 04 (2011) 076 [Erratum ibid. 1201 (2012) 008] [arXiv:1101.5136] [INSPIRE].
S. Carlip, Effective conformal descriptions of black hole entropy, Entropy 13 (2011) 1355 [arXiv:1107.2678] [INSPIRE].
B. Chen and J.-j. Zhang, Novel CFT Duals for extreme black holes, Nucl. Phys. B 856 (2012) 449 [arXiv:1106.4148] [INSPIRE].
A. Castro and M.J. Rodriguez, Universal properties and the first law of black hole inner mechanics, Phys. Rev. D 86 (2012) 024008 [arXiv:1204.1284] [INSPIRE].
B. Chen and J.-j. Zhang, General hidden conformal symmetry of 4D Kerr-Newman and 5D Kerr black holes, JHEP 08 (2011) 114 [arXiv:1107.0543] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
ArXiv ePrint: 1208.4413
Rights and permissions
About this article
Cite this article
Chen, B., Zhang, Jj. Holographic descriptions of black rings. J. High Energ. Phys. 2012, 22 (2012). https://doi.org/10.1007/JHEP11(2012)022
Received:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP11(2012)022