One-loop determinants for black holes in 4d gauged supergravity

Hristov, Kiril; Lodato, Ivano; Reys, Valentin

doi:10.1007/jhep11(2019)105

Cited by 22 publications

(40 citation statements)

References 79 publications

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“…One can also expect that all these results could follow from an equivariant localization in supergravity along the lines of [85,86]. The entropy functional (1.2) is indeed strongly suggesting an underlying fixed point formula.…”

Section: Discussion and Outlookmentioning

confidence: 78%

Gluing gravitational blocks for AdS black holes

Hosseini

Hristov

Zaffaroni

2019

J. High Energ. Phys.

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124

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We provide a unifying entropy functional and an extremization principle for black holes and black strings in AdS 4 × S 7 and AdS 5 × S 5 with arbitrary rotation and generic electric and magnetic charges. This is done by gluing gravitational blocks, basic building blocks that are directly inspired by the holomorphic blocks appearing in the factorization of supersymmetric partition functions in three and four dimensions. We also provide an explicit realization of the attractor mechanism by identifying the values of the scalar fields at the horizon with the critical points of the entropy functional. We give examples based on dyonic rotating black holes with a twist in AdS 4 × S 7 , rotating black strings in AdS 5 × S 5 , dyonic Kerr-Newman black holes in AdS 4 × S 7 and Kerr-Newman black holes in AdS 5 × S 5 . In particular, our entropy functional extends existing results by adding rotation to the twisted black holes in AdS 4 and by adding flavor magnetic charges for the Kerr-Newman black holes in AdS 4 . We also discuss generalizations to higher-dimensional black objects. arXiv:1909.10550v1 [hep-th] 23 Sep 20191 The BPS conditions impose a linear constraint on the magnetic charges and some non-linear con-5 This has been checked at large N in full generality for static mAdS 4 black holes [1,41], rotating black strings in AdS 5 [19], KN-AdS 5 black holes with equal angular momenta [4] and at large N but in the Cardy limit for general purely electric KN-AdS 4 and KN-AdS 5 [3,42]. It is still not known if the large N limit of the superconformal index of N = 4 SYM reproduces the entropy functional, and therefore the entropy, in the case of KN-AdS 5 black holes with unequal angular momenta.6 See also [43] for a different approach.10 In particular, in the regime considered in (4.15) the minus sign in the chemical potential is equivalent to a complex conjugate. This might explain the complex conjugate we detect in gravity, see (4.9). 11 We correct a misprint in the formula for the entropy in [21]. Note also that we have redefined the angular momentum as J there = − 1 2 J here (see footnote 21).An important symmetry of the equations of motion of supergravity is the electromagnetic duality. As the name suggests, the n V + 1 electric and magnetic gauge field strengths F Λ and G Λ (Λ = 0, . . . , n V ) can be transformed among each other under the symplectic group Sp(2(n V + 1), Z), resulting in a rotation of the electromagnetic charges,

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Section: Discussion and Outlookmentioning

confidence: 78%

Gluing gravitational blocks for AdS black holes

Hosseini

Hristov

Zaffaroni

2019

J. High Energ. Phys.

Self Cite

124

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“…In particular, it would be interesting to find the analog of standard results and conjectures about the quantum entropy of asymptotically flat back holes, like the OSV conjecture (Ooguri et al 2004), the Sen's quantum entropy functional (Sen 2009b, a) and localization in supergravity (Dabholkar et al 2011a(Dabholkar et al , 2013, 54 to cite only few of them. In particular, some interesting results about localization in AdS 2 Â S 2 have been already found in Hristov et al (2018Hristov et al ( , 2019c). -The topologically twisted index has been extended to five-dimensions (Hosseini et al 2018c;Crichigno et al 2018) and successfully compared with the entropy of AdS 6 black holes with horizon AdS 2 Â R g 1 Â R g 2 (Suh 2019a;Hosseini et al 2018a;Suh 2019bSuh , 2018Fluder et al 2019).…”

Section: Other Examples and Generalizationsmentioning

confidence: 69%

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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“…It is, therefore, natural to study if the logarithmic in N terms coming from the field theory partition functions are reproduced by one-loop supergravity around the black hole backgrounds. There have been some developments in matching the gravity computation to the coefficient of log(N ) term on the field theory side [20,[68][69][70][71][72][73][74]. In this section we compute the one-loop logarithmic corrections from the gravity side and confront them with the field-theoretic (UV) results.…”

Section: Logarithmic Corrections From One-loop Gravitymentioning

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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One-loop determinants for black holes in 4d gauged supergravity

Cited by 22 publications

References 79 publications

Gluing gravitational blocks for AdS black holes

Gluing gravitational blocks for AdS black holes

AdS black holes, holography and localization

Rotating black hole entropy from M5-branes

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