AdS black holes, holography and localization

We study the large N limit of the superconformal index of a large class of 5d $$ \mathcal{N} $$ N = 1 superconformal field theories and show it is given by the square of the partition function on the squashed five-sphere. We show this simple relation implies a Cardy formula in 5d, which is valid in an “extended” regime in which fugacities are finite and N is large. For theories with weakly coupled gravity duals we conjecture this large N Cardy formula universally accounts for the microscopic entropy of spinning black holes in AdS6. We check this explicitly for known black hole solutions in massive type IIA and type IIB string theory, carrying two angular momenta and one electric charge, and predict the entropy of black holes carrying multiple electric charges, yet to be constructed. We also discuss large N properties of the $$ {S}_b^3\times {\Sigma}_{\mathfrak{g}} $$ S b 3 × Σ g partition function, extending previous results to theories with type IIB duals.

Section: A Mesonic Spinning Black Hole In Massive Type Iiasupporting

confidence: 92%

The 5d superconformal index at large N and black holes

Crichigno

Jain

2020

“…While the results of [6,9] and the subsequent developments on the interplay between the topologically twisted index and holography summarized in [8] offer important insights into the microscopic physics of AdS 4 black holes, there are still several open questions related to the holographic description of the topologically twisted index in (1.1). Our goal in this paper is to shed light on these questions and construct supergravity solutions which are the holographic dual of the partially twisted ABJM theory on S 1 × Σ g for arbitrary values of the deformations parameters (u, p) and whose regularized on-shell action agrees with the topologically twisted index (1.1).…”

Section: Jhep10(2020)073mentioning

confidence: 99%

“…12) where g is the gauging parameter. 8 When we set all scalars and gauge fields to zero, the theory has a maximally-supersymmetric AdS 4 vacuum with size L, related to the gauging parameter g by…”

Section: Euclidean Bps Conditions In the Stu Modelmentioning

confidence: 99%

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Euclidean black saddles and AdS4 black holes

Bobev

Charles

Min

2020

We find new asymptotically locally AdS4 Euclidean supersymmetric solutions of the STU model in four-dimensional gauged supergravity. These “black saddles” have an S1×$$ {\Sigma}_{\mathfrak{g}} $$ Σ g boundary at asymptotic infinity and cap off smoothly in the interior. The solutions can be uplifted to eleven dimensions and are holographically dual to the topologically twisted ABJM theory on S1×$$ {\Sigma}_{\mathfrak{g}} $$ Σ g . We show explicitly that the on-shell action of the black saddle solutions agrees exactly with the topologically twisted index of the ABJM theory in the planar limit for general values of the magnetic fluxes, flavor fugacities, and real masses. This agreement relies on a careful holographic renormalization analysis combined with a novel UV/IR holographic relation between supergravity parameters and field theory sources. The Euclidean black saddle solution space contains special points that can be Wick-rotated to regular Lorentzian supergravity backgrounds that correspond to the well-known supersymmetric dyonic AdS4 black holes in the STU model.

“…This approach has now been generalized to include the microscopic counting of the entropy of rotating, electrically charged asymptotically AdS black holes in various dimensions [6][7][8][9][10][11][12][13][14]. These recent works, together with previous progress on magnetically charged asymptotically AdS black holes [15,16], provide a fairly complete and novel approach to microstate counting for asymptotically AdS black holes and mark the beginning of a new era in explorations of quantum gravity.…”

Section: Jhep11(2020)041 1 Introductionmentioning

confidence: 99%

Gravitational Cardy limit and AdS black hole entropy

David

Nian

Zayas

2020

We explore the gravitational implementation of the field theory Cardy-like limit recently used in the successful microstate countings of AdS black hole entropy in various dimensions. On the field theory side, the Cardy-like limit focuses on a particular scaling of conserved electric charges and angular momenta and we first translate this scaling to the gravitational side by a limiting procedure on the black hole parameters. We note that the scaling naturally accompanies a near-horizon region for which these black hole solutions are greatly simplified. Applying the Kerr/CFT correspondence to the near-horizon region, we precisely reproduce the Bekenstein-Hawking entropy of asymptotically AdS4,5,6,7 BPS black holes. Our results explicitly provide a microscopic and universal low energy description for AdS black holes across various dimensions.