Universal 3d Cardy block and black hole entropy

Choi, Sunjin; Hwang, Chiung

doi:10.1007/jhep03(2020)068

Cited by 42 publications

(76 citation statements)

References 83 publications

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“…We comment in passing that a relation analogous to (3.13) has been shown to hold in 3d, relating the large N superconformal index, Z S 2 ω ×S 1 , in the Cardy-like limit |ω| 1, to the squashed S 3 partition function in the interesting paper [69]. The results discussed here, and the holographic arguments in [12], suggest that at large N the 3d relation may hold in an extended regime as well.…”

Section: A Large N Cardy Formulasupporting

confidence: 51%

The 5d superconformal index at large N and black holes

Crichigno

Jain

2020

J. High Energ. Phys.

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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.

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Section: A Large N Cardy Formulasupporting

confidence: 51%

The 5d superconformal index at large N and black holes

Crichigno

Jain

2020

J. High Energ. Phys.

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“…Solutions of this type have been studied in [54] and it will be very interesting to generalize them, understand their relation to the Lorentzian rotating black hole solutions in [55,56], and establish their dual field theory description. It is important also to study the relation between black saddles and the "gravitational blocks" discussed recently in [57,58]. We also note that it will be interesting to construct black saddle solutions which correspond to general values of the parameter n = 1 which specifies the R-symmetry chemical potential in (2.2) and understand their interpretation in the dual field theory.…”

Section: Generalizations and Open Questionsmentioning

confidence: 84%

Euclidean black saddles and AdS4 black holes

Bobev

Charles

Min

2020

J. High Energ. Phys.

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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.

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“…As a related matter, it had been believed that the superconformal index could not capture the entropy of BPS black holes in the dual AdS space due to the severe boson/fermion cancellation. However, inspired by the extremization principle found in [19][20][21], it has been recently observed that the superconformal index can actually reproduce the entropy of supersymmetric black holes in AdS 4 [22][23][24], AdS 5 [25][26][27], AdS 6 [28], and AdS 7 [26]. The primary breakthrough was allowing the chemical potentials to be complex to obstruct (−1) F cancellation [29].…”

Section: Introductionmentioning

confidence: 99%