Higher derivative corrections and 
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 black holes

Bobev, Nikolay; Dimitrov, Vasil; Reys, Valentin; Vekemans, Annelien

doi:10.1103/physrevd.106.l121903

Cited by 28 publications

(1 citation statement)

References 39 publications

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“…If one is not interested in the full black hole solution but only on its thermodynamic properties, there are several strategies that can be followed. One possibility consists in evaluating the Euclidean action on the uncorrected black hole solution [18][19][20][21]. As shown by [18] the leading-order corrections to black hole thermodynamics can be obtained in this way, hence avoiding the intricate task of solving the equations of motion.…”

Section: Introductionmentioning

confidence: 99%

The extremal Kerr entropy in higher-derivative gravities

Cano¹,

David²

2023

Preprint

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We investigate higher derivative corrections to the extremal Kerr black hole in the context of heterotic string theory with α corrections and of a cubic-curvature extension of general relativity. By analyzing the near-horizon extremal geometry of these black holes, we are able to compute the Iyer-Wald entropy as well as the angular momentum via generalized Komar integrals. In the case of the stringy corrections, we obtain the physically relevant relation S(J) at order α 2 . On the other hand, the cubic theories, which are chosen as Einsteinian cubic gravity plus a new odd-parity density with analogous features, possess special integrability properties that enable us to obtain exact results in the higher-derivative couplings. This allows us to find the relation S(J) at arbitrary orders in the couplings and even to study it in a non-perturbative way. We also extend our analysis to the case of the extremal Kerr-(A)dS black hole.

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Section: Introductionmentioning

confidence: 99%

The extremal Kerr entropy in higher-derivative gravities

Cano¹,

David²

2023

Preprint

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Cardy expansion of 3d superconformal indices and corrections to the dual black hole entropy

Lezcano

Jerdee

Zayas

2023

J. High Energ. Phys.

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We consider the superconformal index of three-dimensional $$ \mathcal{N} $$ N = 2 supersymmetric field theories computed via localization on S1 × S2. We systematically develop an expansion where the ratio of the radius of S1 to the radius of S2 is taken very small — a Cardy-like expansion. We emphasize the sub-leading structures in this Cardy-like expansion as well as their interplay with the large-N limit for theories with gauge group of the form product of U(N) factors. We demonstrate that taking the large-N limit first leads to an expression for the effective action yielding the index that only includes terms proportional to 1/β and powers of βi=0,1,2 where β is the ratio of radii. As we depart from the β → 0 limit for finite N, we find indications of non-perturbative contributions of the form e−1/β. We present an explicit evaluation of the superconformal index for the ABJM theory in the large-N limit that is exact in β up to non-perturbative corrections. For the ABJM theory we explore the implications of the Cardy-like expansion for corrections to the entropy of the rotating, electricallly charged, asymptotically AdS4 dual black hole. Interestingly, we find a closed form for the entropy that includes all perturbative corrections in β and takes the form of the leading order expression but with shifted charges.

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Large N superconformal indices for 3d holographic SCFTs

Bobev

Choi

Hong

et al. 2023

J. High Energ. Phys.

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We study a limit of the superconformal index of the ABJM theory on S1 × S2 in which the size of the circle is much smaller than the radius of the two-sphere. We derive closed form expressions for the two leading terms in this Cardy-like limit which are valid to all orders in the 1/N expansion. These results are facilitated by a judicious rewriting of the superconformal index which establishes a connection with the Bethe Ansatz Equations that control the topologically twisted index. Using the same technique we extend these results to the superconformal index of another holographic theory: 3d $$ \mathcal{N} $$ N = 4 SYM coupled to one adjoint and Nf fundamental hypermultiplets. We discuss the implications of our results for holography and the physics of charged rotating black holes in AdS4.

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Higher derivative corrections and AdS5 black holes

Cited by 28 publications

References 39 publications

The extremal Kerr entropy in higher-derivative gravities

The extremal Kerr entropy in higher-derivative gravities

Cardy expansion of 3d superconformal indices and corrections to the dual black hole entropy

Large N superconformal indices for 3d holographic SCFTs

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