Quantum vortices, M2-branes and black holes

Choi, Sunjin; Hwang, Chiung; Kim, Seok

doi:10.48550/arxiv.1908.02470

Cited by 30 publications

(58 citation statements)

References 46 publications

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“…The first explicit computation was performed for static magnetically charged black holes by Benini, Hristov and Zaffaroni in [6] (see [7] for a review). More recently, a microscopic description for the entropy of rotating, electrically charged AdS 4 black holes has been provided via the superconformal index [8] and by a related localization computation [9]. Similar results were obtained in [10,11].…”

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confidence: 55%

Non-topological logarithmic corrections in minimal gauged supergravity

David,

Godet,

Liu

et al. 2021

Preprint

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We compute the logarithmic correction to the entropy of asymptotically AdS 4 black holes in minimal N " 2 gauged supergravity. We show that for extremal black holes the logarithmic correction computed in the near horizon geometry agrees with the result in the full geometry up to zero mode contributions, thus clarifying where the quantum degrees of freedom lie in AdS spacetimes. In contrast to flat space, we observe that the logarithmic correction for supersymmetric black holes can be non-topological in AdS as it is controlled by additional four-derivative terms other than the Euler density. The available microscopic data and results in 11d supergravity indicate that the full logarithmic correction is topological, which suggests that the topological nature of logarithmic corrections could serve as a diagnosis of whether a low-energy gravity theory admits an ultraviolet completion.

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supporting

confidence: 55%

Non-topological logarithmic corrections in minimal gauged supergravity

David,

Godet,

Liu

et al. 2021

Preprint

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“…For general non-supersymmetric black holes we do not have good methods to count these states in the strongly coupled theories which map under the AdS/CFT correspondence to weakly curved backgrounds (where the Bekenstein-Hawking computation is valid). In the last few years, considerable progress has been made in performing this counting for 1/16-BPS black holes in type IIB string theory on AdS 5 × S 5 , which map to 1/16-BPS states in the N = 4 SU(N) supersymmetric Yang-Mills (SYM) theory on S 3 (this followed related results in other backgrounds, starting with [29] and including [30][31][32][33][34][35][36][37][38][39][40][41][42][43][44][45][46][47]).…”

Section: Introductionmentioning

confidence: 98%

A gravity interpretation for the Bethe Ansatz expansion of the $\mathcal{N}=4$ SYM index

Aharony,

Benini,

Mamroud

et al. 2021

Preprint

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The superconformal index of the N = 4 SU(N) supersymmetric Yang-Mills theory counts the 1/16-BPS states in this theory, and has been used via the AdS/CFT correspondence to count black hole microstates of 1/16-BPS black holes. On one hand, this index may be related to the Euclidean partition function of the theory on S 3 × S 1 with complex chemical potentials, which maps by the AdS/CFT correspondence to a sum over Euclidean gravity solutions. On the other hand, the index may be expressed as a sum over solutions to Bethe Ansatz Equations (BAEs). We show that the known solutions to the BAEs that have a good large N limit, for the case of equal chemical potentials for the two angular momenta, have a one-to-one mapping to (complex) Euclidean black hole solutions on the gravity side. This mapping captures both the leading contribution from the classical gravity action (of order N 2 ), as well as non-perturbative corrections in 1/N, which on the gravity side are related to wrapped D3-branes. Some of the BA solutions map to orbifolds of the standard Euclidean black hole solutions (that obey exactly the same boundary conditions as the other solutions). A priori there are many more gravitational solutions than Bethe Ansatz solutions, but we show that by considering the non-perturbative effects, the extra solutions are ruled out, leading to a precise match between the solutions on both sides.

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“…In this context, the problem of microstate counting via holography is conveniently reformulated in terms of a supersymmetric field theory path integral in a background with sources. This takes the form of a supersymmetric index that can then be computed using a variety of methods and then compared with the black hole entropy; for example in the case of D = 4, which is the focus of this paper, see [6][7][8][9][10][11][12][13][14][15][16][17][18]. On the gravity side, the same partition function is obtained from a suitably defined on-shell action, regularized so that the supersymmetric and extremal limit is well-defined, see e.g.…”

Section: Introductionmentioning

confidence: 99%

Thermodynamics of accelerating and supersymmetric $AdS_4$ black holes

Cassani,

Gauntlett,

Martelli

et al. 2021

Preprint

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We study the thermodynamics of AdS 4 black hole solutions of Einstein-Maxwell theory that are accelerating, rotating, and carry electric and magnetic charges. We focus on the class for which the black hole horizon is a spindle and can be uplifted on regular Sasaki-Einstein spaces to give solutions of D = 11 supergravity that are free from conical singularities. We use holography to calculate the Euclidean on-shell action and to define a set of conserved charges which give rise to a first law. We identify a complex locus of supersymmetric and nonextremal solutions, defined through an analytic continuation of the parameters, upon which we obtain a simple expression for the on-shell action. A Legendre transform of this action combined with a reality constraint then leads to the Bekenstein-Hawking entropy for the class of supersymmetric and extremal black holes.

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Quantum vortices, M2-branes and black holes

Cited by 30 publications

References 46 publications

Non-topological logarithmic corrections in minimal gauged supergravity

Non-topological logarithmic corrections in minimal gauged supergravity

A gravity interpretation for the Bethe Ansatz expansion of the $\mathcal{N}=4$ SYM index

Thermodynamics of accelerating and supersymmetric $AdS_4$ black holes

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