Warped Ricci-flat reductions

Colgáin, E. Ó; Sheikh-Jabbari, M. M.; Vázquez-Poritz, Justin F.; Yavartanoo, Hossein; Zhang, Z

doi:10.1103/physrevd.90.045013

Cited by 18 publications

(19 citation statements)

References 88 publications

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“…This implies that we have anti-Stokes line at Re i τ σ = 0 since the dominant saddle point changes there. The above saddle points are unstable in the regime Re i τ σ < 0 which we 10 We have used (−1) F = e 2πiQ3 .…”

Section: )mentioning

confidence: 99%

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Quantum black hole entropy from 4d supersymmetric Cardy formula

Honda

2019

Phys. Rev. D

123

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We study supersymmetric index of 4d SU (N ) N = 4 super Yang-Mills theory on S 1 × M 3 . We compute asymptotic behavior of the index in the limit of shrinking S 1 for arbitrary N by a refinement of supersymmetric Cardy formula. The asymptotic behavior for the superconformal index case (M 3 = S 3 ) at large N agrees with the Bekenstein-Hawking entropy of rotating electrically charged BPS black hole in AdS 5 via a Legendre transformation as recently shown in literature. We also find that the agreement formally persists for finite N if we slightly modify the AdS/CFT dictionary between Newton constant and N . This implies an existence of non-renormalization property of the quantum black hole entropy. We also study the cases with other gauge groups and additional matters, and the orbifold N = 4 super Yang-Mills theory. It turns out that the entropies of all the CFT examples in this paper are given by 2π Q 1 Q 2 + Q 1 Q 3 + Q 2 Q 3 − 2c(J 1 + J 2 ) with charges Q 1,2,3 , angular momenta J 1,2 and central charge c. The results for other M 3 make predictions to the gravity side. * mh974ATdamtp.cam.ac.uk 1 See also [10] for another embedding.

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Section: )mentioning

confidence: 99%

“…It turns out that the entropies of all the CFT examples in this paper are given by 2π Q 1 Q 2 + Q 1 Q 3 + Q 2 Q 3 − 2c(J 1 + J 2 ) with charges Q 1,2,3 , angular momenta J 1,2 and central charge c. The results for other M 3 make predictions to the gravity side. * mh974ATdamtp.cam.ac.uk 1 See also [10] for another embedding.…”

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confidence: 99%

Quantum black hole entropy from 4d supersymmetric Cardy formula

Honda

2019

Phys. Rev. D

123

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“…De spite having curvature singularity, the modes in the AdS 3 gravity obtained upon the reduction are smooth. This implies that these are "good" singularities in the sense used in [29,30]. Given the curvature singularity one may examine whether the higher derivative corrections to gravity action can remove the singularity.…”

Section: Jhep10(2014)081mentioning

confidence: 99%

On classification of geometries with SO(2,2) symmetry

Sadeghian

Sheikh-Jabbari

Yavartanoo

2014

J. High Energ. Phys.

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Motivated by the Extremal Vanishing Horizon (EVH) black holes, their near horizon geometry and the EVH/CFT proposal [1], we construct and classify solutions with (local) SO(2,2) symmetry to four and five dimensional Einstein-Maxwell-Dilaton (EMD) theory with positive, zero or negative cosmological constant Λ, the EMD-Λ theory, and also U(1) 4 gauged supergravity in four dimensions and U(1) 3 gauged supergravity in five dimensions. In four dimensions the geometries are warped product of AdS 3 with an interval or a circle. In five dimensions the geometries are of the form of warped product of AdS 3 and a 2d surface Σ 2 . For the Einsten-Maxwell-Λ theory we prove that Σ 2 should have a U(1) isometry, a rigidity theorem in this class of solutions. We also construct all d dimensional Einstein vacuum solutions with SO(2,2) × U(1) d−4 isometry.

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“…The bosonic sector of this five-dimensional theory also arises as a consistent truncation of eleven-dimensional supergravity on a space with a boundary[29].…”

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Squashing the boundary of supersymmetric AdS5 black holes

Papini

2018

J. High Energ. Phys.

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We construct new supersymmetric black holes in five-dimensional supergravity with an arbitrary number of vector multiplets and Fayet-Iliopoulos gauging. These are asymptotically locally AdS 5 and the conformal boundary comprises a squashed three-sphere with SU(2) × U(1) symmetry. The solution depends on two parameters, of which one determines the angular momentum and the Page electric charges, while the other controls the squashing at the boundary. The latter is arbitrary, however in the flow towards the horizon it is attracted to a value that only depends on the other parameter of the solution. The entropy is reproduced by a simple formula involving the angular momentum and the Page charges, rather than the holographic charges. Choosing the appropriate five-dimensional framework, the solution can be uplifted to type IIB supergravity on S 5 and should thus be dual to N = 4 super Yang-Mills on a rotating, squashed Einstein universe. arXiv:1809.02149v3 [hep-th] 17 Dec 2018 1 See also [24] for a non-supersymmetric study.

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Warped Ricci-flat reductions

Cited by 18 publications

References 88 publications

Quantum black hole entropy from 4d supersymmetric Cardy formula

Quantum black hole entropy from 4d supersymmetric Cardy formula

On classification of geometries with SO(2,2) symmetry

Squashing the boundary of supersymmetric AdS5 black holes

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