Higher-Derivative Corrections and AdS$_5$ Black Holes

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

doi:10.48550/arxiv.2207.10671

Cited by 9 publications

(21 citation statements)

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“…Note added in v1. While the present paper was under completion we became aware of [36], which has considerable overlap. While our results for the corrected on-shell action agree, our expression for the BPS entropy disagrees with the one presented there.…”

Section: Jhep11(2022)059mentioning

confidence: 97%

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Corrections to AdS5 black hole thermodynamics from higher-derivative supergravity

Ruipérez

Turetta

2022

J. High Energ. Phys.

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We study four-derivative corrections to five-dimensional minimal gauged supergravity. We evaluate the on-shell action of the AdS5 black hole solution with two independent angular momenta and one electric charge at linear order in the corrections. After imposing supersymmetry, we are able to recast the action in terms of the supersymmetric chemical potentials and match the result obtained from the dual superconformal index on the second sheet. To achieve this, we exploit the freedom to implement field redefinitions to recast the action in a much simpler form, as well as the fact that the two-derivative solution is enough. We use the on-shell action to determine the corrections to the black hole thermodynamics, including those to the entropy and the charges. We then specialize to the supersymmetric and extremal case and find a simple expression for the microcanonical entropy. In particular, for the case with one independent angular momentum the corrections are entirely encoded in the dual superconformal anomaly coefficients. We corroborate this result for the entropy by constructing the corrected near-horizon solution and applying Wald’s formula.

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Section: Jhep11(2022)059mentioning

confidence: 97%

“…While our results for the corrected on-shell action agree, our expression for the BPS entropy disagrees with the one presented there. The reason may be that in [36] the formula for the entropy is evaluated on the two-derivative solution.…”

Section: Jhep11(2022)059mentioning

confidence: 99%

Corrections to AdS5 black hole thermodynamics from higher-derivative supergravity

Ruipérez

Turetta

2022

J. High Energ. Phys.

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“…In the context of string-inspired holographic dualities, such as the AdS/CFT, higher-order 1/N corrections in quantum field theories translate into higher curvature terms on the gravity side making these contributions fundamental for precision tests in AdS/CFT. New interesting analyses in this topic have been performed in the last few years -see for example [4][5][6][7][8][9][10][11][12] and references therein.…”

Section: Introductionmentioning

confidence: 99%

“…This second limitation has a clear impact if one is interested in using off-shell supergravity in the study of AdS/CFT. Indeed, the authors of [8,11,12] employed a formulation of minimal gauged supergravity in 5D based on the standard Weyl multiplet, for which however they could only use two of the three independent invariants, the ones of [25,29,31], explicitly known in terms of the component fields. To this regard, it is worth explaining that, as first discussed in [4], see also [5,8,11,12], the use of two invariants might suffice in 5D since a curvature dependent redefinition of the metric can reabsorb one of the three curvature-squared terms.…”

Section: Introductionmentioning

confidence: 99%

“…Indeed, the authors of [8,11,12] employed a formulation of minimal gauged supergravity in 5D based on the standard Weyl multiplet, for which however they could only use two of the three independent invariants, the ones of [25,29,31], explicitly known in terms of the component fields. To this regard, it is worth explaining that, as first discussed in [4], see also [5,8,11,12], the use of two invariants might suffice in 5D since a curvature dependent redefinition of the metric can reabsorb one of the three curvature-squared terms. It remains however a nontrivial open problem to prove this statement for whole locally supersymmetric invariants (e.g., including fermions) and to have clear control of the supersymmetry transformations under this redefinition.…”

Section: Introductionmentioning

confidence: 99%

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On curvature-squared invariants of minimal five-dimensional supergravity from superspace

Gold¹,

Hutomo²,

Khandelwal³

et al. 2023

Preprint

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We elaborate on the off-shell superspace construction of curvature-squared invariants in minimal five-dimensional supergravity. This is described by the standard Weyl multiplet of conformal supergravity coupled to two compensators being a vector multiplet and a linear multiplet. In this set-up, we review the definition of the off-shell two-derivative gauged supergravity together with the three independent four-derivative superspace invariants defined in arXiv:1410.8682. We provide the explicit expression for the linear multiplet based on a prepotential given by the logarithm of the vector multiplet primary superfield. We then present for the first time the primary equations of motion for minimal gauged off-shell supergravity deformed by an arbitrary combination of these three four-derivative locally superconformal invariants. We also identify a four-derivative invariant based on the linear multiplet compensator and the kinetic superfield of a vector multiplet which can be used to engineer an alternative supersymmetric completion of the scalar curvature squared.

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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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Higher-Derivative Corrections and AdS$_5$ Black Holes

Cited by 9 publications

References 0 publications

Corrections to AdS5 black hole thermodynamics from higher-derivative supergravity

Corrections to AdS5 black hole thermodynamics from higher-derivative supergravity

On curvature-squared invariants of minimal five-dimensional supergravity from superspace

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

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