Universal spinning black holes and theories of class $$ \mathcal{R} $$

Bobev, Nikolay; Crichigno, P. Marcos

doi:10.1007/jhep12(2019)054

Cited by 59 publications

(83 citation statements)

References 134 publications

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“…which we derive for 3d SCFTs with Lagrangian descriptions. Also the same relation is expected by the supergravity analysis [48] for 3d theories obtained as the twisted compactification of 5d SCFTs [85]. From those results, we may expect that our Cardy analysis for Lagrangian theories would hold for a broader class of 3d SCFTs, which will be interesting to clarify.…”

Section: Discussionsupporting

confidence: 81%

“…• Twisted compactification of 5d, 6d SCFTs While our analysis relies on the localization computation of supersymmetric partition functions, and thus on the Lagrangian description of a theory, recently similar results are obtained for class R theories, which are generically non-Lagrangian theories, realized as twisted compactification of 6d (2,0) A N −1 theory on hyperbolic 3-manifolds [58,83,84]. The superconformal indices of those theories can be computed as topological invariants of SL(N, C) Chern-Simons theories by the 3d-3d correspondence and are shown to capture N 3 degrees of freedom of N M5-branes [48,49]. Remarkably, they satisfy the same relation (3.23):…”

Section: Discussionmentioning

confidence: 57%

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Universal 3d Cardy block and black hole entropy

Choi

Hwang

2020

J. High Energ. Phys.

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We discuss the Cardy limit of 3d supersymmetric partition functions which allow the factorization into the hemisphere indices: the generalized superconformal index, the refined topologically twisted index and the squashed sphere partition function. In the Cardy limit, the hemisphere index can be evaluated by the saddle point approximation where there exists a dominant saddle point contribution, which we call the Cardy block. The Cardy block turns out to be a simple but powerful object as it is a building block of other partition functions in the Cardy limit. The factorization to the Cardy block allows us to find universal relations among the partition functions, which we formulate as index theorems. Furthermore, if we consider a holographic 3d SCFT and its large N limit, those partition functions relate to various entropic quantities of the dual gravity theory in AdS 4 . As a result, our result provides the microscopic derivation of the universal relations among those entropic quantities of the gravity theory. We also discuss explicit examples, which confirm our general index theorems.

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Section: Discussionsupporting

confidence: 81%

Section: Discussionmentioning

confidence: 57%

Universal 3d Cardy block and black hole entropy

Choi

Hwang

2020

J. High Energ. Phys.

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“…The case of AdS 6 and AdS 7 have been analysed in , Kantor et al (2020) and Nahmgoong (2019). Other interesting developments can be found in , Bobev and Crichigno (2019) and Goldstein et al (2020).…”

Section: Results On the Quantum Field Theory Sidementioning

confidence: 91%

AdS black holes, holography and localization

Zaffaroni

2020

Living Rev Relativ

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I review some recent progresses in counting the number of microstates of AdS supersymmetric black holes in dimension equal or greater than four using holography. The counting is obtained by applying localization and matrix model techniques to the dual field theory. I cover in details the case of dyonic AdS 4 black holes, corresponding to a twisted compactification of the dual field theory, and I discuss the state of the art for rotating AdS 5 black holes.

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“…Note added: While we were preparing this manuscript for submission we received [16] which has some overlap regarding the leading behavior of the superconformal index.…”

Section: Introductionmentioning

confidence: 99%

Rotating black hole entropy from M5-branes

Benini

Gang

Zayas

2020

J. High Energ. Phys.

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We compute the superconformal index of 3d N = 2 superconformal theories obtained from N M5-branes wrapped on a hyperbolic 3-manifold. Exploiting the 3d-3d correspondence we use perturbative invariants of SL(N, C) Chern-Simons theory to determine the superconformal index in the large N limit, including logarithmic in N corrections. The leading order partition function provides a microscopic foundation for the entropy function of the dual rotating asymptotically AdS 4 black holes. We also verify that the supergravity one-loop contribution to the log N term coincides with the field theoretic result. We also propose a 3d-3d formulation for the refined topologically twisted index and provide strong evidence in support of its vanishing which agrees with the fact that the expected dual rotating magnetically charged black hole does not exist, thus providing an interesting link between gravity and a tantalizing mathematical result. 3d T N [M 3 ] theoryWe start with the definition and basic properties of the 3d T N [M 3 ] theory appearing on the LHS of the 3d-3d relation (2.1). We define T N [M 3 ] := the 3d N = 2 superconformal field theory obtained from a twisted compactification of the 6d A N −1 (2,0) theory on M 3 , M 3 = a closed hyperbolic 3-manifold = H 3 /Γ .(2.2)

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Universal spinning black holes and theories of class $$ \mathcal{R} $$

Cited by 59 publications

References 134 publications

Universal 3d Cardy block and black hole entropy

Universal 3d Cardy block and black hole entropy

AdS black holes, holography and localization

Rotating black hole entropy from M5-branes

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