2020
DOI: 10.1016/j.nuclphysb.2020.114970
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Hidden conformal symmetry for Kerr-Newman-NUT-AdS black holes

Abstract: We show the generic non-extremal Kerr-Newman-NUT-AdS black holes are holographically dual to the hidden conformal field theories in two different pictures. The two pictures can be merged together to the dual CFTs in general picture, that are generated by the SL(2, Z) modular group. We also extend the calculation to the extremal limit and find the corresponding quantities. Using the extended central charges from the Kerr/CFT correspondence, we also find agreement between the macroscopic and microscopic entropie… Show more

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Cited by 29 publications
(22 citation statements)
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“…Such an approximation was used before for the quartic metric function of the Kerr-Newman-AdS [29,30], Kerr-NUT-AdS [31], and Kerr-Newman-NUT-AdS [38,39] black holes. Using (12), the radial equation (11) reduces to…”
Section: A Hidden Conformal Symmetrymentioning
confidence: 99%
See 1 more Smart Citation
“…Such an approximation was used before for the quartic metric function of the Kerr-Newman-AdS [29,30], Kerr-NUT-AdS [31], and Kerr-Newman-NUT-AdS [38,39] black holes. Using (12), the radial equation (11) reduces to…”
Section: A Hidden Conformal Symmetrymentioning
confidence: 99%
“…For a review regarding this whole Kerr/CFT computation can be referred to Ref. [5], while it has also been applied in several black hole solutions in extremal [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20][21] and generic [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37][38][39] cases.…”
Section: Introductionmentioning
confidence: 99%
“…However, the NUT parameter is not associated to any symmetry of the spacetime, and yet it also leads to some peculiar properties in the spacetime, such as conical singularity and the regular invariants such as squared Riemann tensor, at the origin of the coordinate system. Nevertheless, spacetimes with the NUT parameter has helped to shape our understanding of some gravitational and thermodynamical aspects of gravity theories [2][3][4][5][6][7][8][9][10][11][12][13][14] The Kerr-Newman spacetime is a well known black hole solution in the Einstein-Maxwell theory. The solutions can a e-mail: amg142@campus.usask.ca (corresponding author) b e-mail: haryanto.siahaan@unpar.ac.id be extended to contain the NUT parameter, and usually referred to, as the Kerr-Newman-Taub-NUT spacetimes.…”
Section: Introductionmentioning
confidence: 99%
“…Fig 12. The angular velocity of the horizon as function of a, b (left) and l, b (right), where we set the other black hole parameters to a set of fixed numbers…”
mentioning
confidence: 99%
“…Since the conformal symmetry of the non-extremal Kerr solution is only discernable by studying the dynamics rather than the background geometry alone, this feature is referred to as a hidden conformal symmetry. A corresponding near-region analysis has now been applied to many non-extremal black hole systems, and hidden conformal symmetry has thus been shown to be a generic feature of black hole backgrounds [10][11][12]. The physical connection between this near-region approach of finding hidden conformal symmetry and black hole soft hair [13] is treated in [9,14,15].…”
mentioning
confidence: 99%