Abstract
Holographic dualities between certain gravitational theories in four and five spacetime dimensions and 2D conformal field theories (CFTs) have been proposed based on hidden conformal symmetry exhibited by the radial Klein-Gordon (KG) operator in a so-called near-region limit. In this paper, we examine hidden conformal symmetry of black rings and black strings solutions, thus demonstrating that the presence of hidden conformal symmetry is not linked to the separability of the KG-equation (or the existence of a Killing-Yano tensor). Further, we will argue that these classes of non-extremal black holes have a dual 2D CFT. New revised monodromy techniques are developed to encompass all the cases we consider.
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].
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. Carter, Global structure of the Kerr family of gravitational fields, Phys. Rev. 174 (1968) 1559 [INSPIRE].
V.P. Frolov and D. Kubiznak, Hidden symmetries of higher dimensional rotating black holes, Phys. Rev. Lett. 98 (2007) 011101 [gr-qc/0605058] [INSPIRE].
V. Frolov, P. Krtous and D. Kubiznak, Black holes, hidden symmetries, and complete integrability, Living Rev. Rel. 20 (2017) 6 [arXiv:1705.05482] [INSPIRE].
D. Kubiznak and V.P. Frolov, Hidden symmetry of higher dimensional Kerr-NUT-AdS spacetimes, Class. Quant. Grav. 24 (2007) F1–F6 [gr-qc/0610144] [INSPIRE].
R. Emparan and H.S. Reall, Black rings, Class. Quant. Grav. 23 (2006) R169 [hep-th/0608012] [INSPIRE].
A. Castro, J.M. Lapan, A. Maloney and M.J. Rodriguez, Black hole monodromy and conformal field theory, Phys. Rev. D 88 (2013) 044003 [arXiv:1303.0759] [INSPIRE].
A. Castro, J.M. Lapan, A. Maloney and M.J. Rodriguez, Black hole scattering from monodromy, Class. Quant. Grav. 30 (2013) 165005 [arXiv:1304.3781] [INSPIRE].
A.B. Chanson, J. Ciafre and M.J. Rodriguez, Emergent black hole thermodynamics from monodromy, Phys. Rev. D 104 (2021) 024055 [arXiv:2004.14405] [INSPIRE].
R. Emparan, Rotating circular strings, and infinite nonuniqueness of black rings, JHEP 03 (2004) 064 [hep-th/0402149] [INSPIRE].
A.A. Pomeransky and R.A. Sen’kov, Black ring with two angular momenta, hep-th/0612005 [INSPIRE].
Y. Chen, K. Hong and E. Teo, Unbalanced Pomeransky-Sen’kov black ring, Phys. Rev. D 84 (2011) 084030 [arXiv:1108.1849] [INSPIRE].
C. Keeler, V. Martin and A. Priya, Hidden conformal symmetries from Killing towers with an application to large-D/CFT, SciPost Phys. 12 (2022) 170 [arXiv:2110.10723] [INSPIRE].
S. Haco, S.W. Hawking, M.J. Perry and A. Strominger, Black hole entropy and soft hair, JHEP 12 (2018) 098 [arXiv:1810.01847] [INSPIRE].
A. Aggarwal, A. Castro and S. Detournay, Warped symmetries of the Kerr black hole, JHEP 01 (2020) 016 [arXiv:1909.03137] [INSPIRE].
M. Perry and M.J. Rodriguez, Central charges for AdS black holes, Class. Quant. Grav. 39 (2022) 045009 [arXiv:2007.03709] [INSPIRE].
M.J. Perry and M.J. Rodriguez, CFT duals of Kerr-Taub-NUT and beyond, arXiv:2205.09146 [INSPIRE].
I. Bena and N.P. Warner, One ring to rule them all. . . And in the darkness bind them?, Adv. Theor. Math. Phys. 9 (2005) 667 [hep-th/0408106] [INSPIRE].
J.P. Gauntlett et al., All supersymmetric solutions of minimal supergravity in five-dimensions, Class. Quant. Grav. 20 (2003) 4587 [hep-th/0209114] [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].
S.W. Hawking, Black holes in general relativity, Commun. Math. Phys. 25 (1972) 152 [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].
J.L. Cardy, Operator content of two-dimensional conformally invariant theories, Nucl. Phys. B 270 (1986) 186 [INSPIRE].
R. Gregory and R. Laflamme, Black strings and p-branes are unstable, Phys. Rev. Lett. 70 (1993) 2837 [hep-th/9301052] [INSPIRE].
T. Wiseman, From black strings to black holes, Class. Quant. Grav. 20 (2003) 1177 [hep-th/0211028] [INSPIRE].
G.T. Horowitz and K. Maeda, Fate of the black string instability, Phys. Rev. Lett. 87 (2001) 131301 [hep-th/0105111] [INSPIRE].
G. Compere, S. de Buyl, S. Stotyn and A. Virmani, A general black string and its microscopics, JHEP 11 (2010) 133 [arXiv:1006.5464] [INSPIRE].
H. Elvang and M.J. Rodriguez, Bicycling black rings, JHEP 04 (2008) 045 [arXiv:0712.2425] [INSPIRE].
C. Krishnan, Hidden conformal symmetries of five-dimensional black holes, JHEP 07 (2010) 039 [arXiv:1004.3537] [INSPIRE].
B. Chen and J.-J. Zhang, Holographic descriptions of black rings, JHEP 11 (2012) 022 [arXiv:1208.4413] [INSPIRE].
J.G. Rosa, Boosted black string bombs, JHEP 02 (2013) 014 [arXiv:1209.4211] [INSPIRE].
O.J.C. Dias, Superradiant instability of large radius doubly spinning black rings, Phys. Rev. D 73 (2006) 124035 [hep-th/0602064] [INSPIRE].
O. Bergman and B. Kol, String webs and 1/4 BPS monopoles, Nucl. Phys. B 536 (1998) 149 [hep-th/9804160] [INSPIRE].
A. Strominger and C. Vafa, Microscopic origin of the Bekenstein-Hawking entropy, Phys. Lett. B 379 (1996) 99 [hep-th/9601029] [INSPIRE].
N. Benjamin, C.A. Keller and I.G. Zadeh, Lifting 1/4-BPS states in AdS3 × S3 × T4, JHEP 10 (2021) 089 [arXiv:2107.00655] [INSPIRE].
S. Choi, J. Kim, S. Kim and J. Nahmgoong, Large AdS black holes from QFT, arXiv:1810.12067 [SNUTP18-005] [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].
M. Cvetic and F. Larsen, Greybody factors and charges in Kerr/CFT, JHEP 09 (2009) 088 [arXiv:0908.1136] [INSPIRE].
P. Charalambous, S. Dubovsky and M.M. Ivanov, On the vanishing of Love numbers for Kerr black holes, JHEP 05 (2021) 038 [arXiv:2102.08917] [INSPIRE].
L.P. de Gioia and A.-M. Raclariu, Eikonal approximation in celestial CFT, JHEP 03 (2023) 030 [arXiv:2206.10547] [INSPIRE].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher’s Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
ArXiv ePrint: 2212.12537
Rights and permissions
Open Access . This article is distributed under the terms of the Creative Commons Attribution License (CC-BY 4.0), which permits any use, distribution and reproduction in any medium, provided the original author(s) and source are credited.
About this article
Cite this article
Chanson, A., Martin, V., Rodriguez, M.J. et al. CFT duals for black rings and black strings. J. High Energ. Phys. 2023, 66 (2023). https://doi.org/10.1007/JHEP04(2023)066
Received:
Revised:
Accepted:
Published:
DOI: https://doi.org/10.1007/JHEP04(2023)066