Matter Multiplets

Lauria, Edoardo; Proeyen, Antoine Van

doi:10.1007/978-3-030-33757-5_3

Cited by 8 publications

(22 citation statements)

References 35 publications

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“…Using this amalgam of four-derivative supergravity and supersymmetric localization results we arrive at the general form of the partition function for these two classes of SCFTs (1). As a further consistency check we note that our results for the ABJM theory at level k ¼ 1 and the UðNÞ N ¼ 4 SYM theory for general N f agree with [41] where the squashed sphere partition function was computed for b 2 ¼ 3.…”

supporting

confidence: 58%

“…Minimal gauged supergravity.-In the conformal supergravity formalism, the two-derivative action of fourdimensional minimal gauged N ¼ 2 supergravity is specified by the Weyl multiplet, an auxiliary vector multiplet and an auxiliary hypermultiplet; see Ref. [1] for a review. In Euclidean signature, the vector multiplet is related to the reducible combination of a real chiral multiplet X þ and a real antichiral multiplet X − ; see Ref.…”

mentioning

confidence: 99%

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Unreasonable Effectiveness of Higher Derivative Supergravity in AdS4 Holography

et al. 2020

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We study four-derivative corrections to four-dimensional N ¼ 2 minimal gauged supergravity controlled by two real constants. The solutions of the equations of motion in the two-derivative theory are not modified by the higher-derivative corrections. We use this to derive a general formula for the regularized on-shell action for any asymptotically locally AdS 4 solution of the theory and show how the higher-derivative corrections affect black hole thermodynamic quantities in a universal way. We employ our results in the context of holography to derive explicit expressions for the subleading corrections in the large N expansion of supersymmetric partition functions on various compact manifolds for a large class of three-dimensional SCFTs.

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confidence: 58%

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confidence: 99%

Unreasonable Effectiveness of Higher Derivative Supergravity in AdS4 Holography

et al. 2020

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“…A number of possible higherderivative (HD) invariants have been identified using the superconformal formalism, see e.g. [22]. We are going to argue that the full superspace integrals, or D-terms, vanish on the supersymmetric backgrounds we consider.…”

Section: Part I: the On-shell Actionmentioning

confidence: 99%

“…In order to discuss rigorously the number of interesting examples related to the general conjecture, we need to introduce some important features of the formalism of conformal supergravity (or superconformal gravity), for comprehensive reviews see [22,102] and references therein, that is crucial for the proper analysis of higher derivative corrections. We are going to discuss the Lorentzian formalism here, with metric signature (−, +, +, +), since we look only at special solutions in the sense defined above, which consist of black hole spacetimes and pure AdS 4 space.…”

Section: Supergravity Preliminariesmentioning

confidence: 99%

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4d $$ \mathcal{N} $$ = 2 supergravity observables from Nekrasov-like partition functions

Hristov

2022

J. High Energ. Phys.

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We reinterpret the OSV formula for the on-shell action/entropy function of asymptotically flat BPS black holes as a fixed point formula that is formally equivalent to a recent gluing proposal for asymptotically AdS4 black holes. This prompts a conjecture that the complete perturbative answer for the most general gravitational building block of 4d $$ \mathcal{N} $$ N = 2 supergravity at a single fixed point takes the form of a Nekrasov-like partition function with equivariant parameters related to the higher-derivative expansion of the prepotential. In turn this leads to a simple localization-like proposal for a set of supersymmetric partition functions in (UV completed) 4d $$ \mathcal{N} $$ N = 2 supergravity theories. The conjecture is shown to be in agreement with a number of available results for different BPS backgrounds with both Minkowski and AdS asymptotics. In particular, it follows that the OSV formula comes from the unrefined limit of the general expression including only the so-called 𝕎 tower of higher derivatives, while the on-shell action of pure (Euclidean) AdS4 with round S3 boundary comes from the NS limit that includes only the 𝕋 tower. Backgrounds preserving less supersymmetry, such as the under-rotating black holes in flat space, the holographic squashed S3, and the static/rotating twisted and non-twisted Kerr-Newman-like black holes in AdS4 lead to a more general refined version of the corresponding gravitational blocks as dictated by the supersymmetric gluing rules.

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Euclidean Black Saddles and AdS$_4$ Black Holes

Bobev,

Charles,

Min

2020

Preprint

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We find new asymptotically locally AdS 4 Euclidean supersymmetric solutions of the STU model in four-dimensional gauged supergravity. These "black saddles" have an S 1 ×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 S 1 × 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 wellknown supersymmetric dyonic AdS 4 black holes in the STU model.

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Matter Multiplets

Cited by 8 publications

References 35 publications

Unreasonable Effectiveness of Higher Derivative Supergravity in AdS4 Holography

Unreasonable Effectiveness of Higher Derivative Supergravity in AdS4 Holography

4d $$ \mathcal{N} $$ = 2 supergravity observables from Nekrasov-like partition functions

Euclidean Black Saddles and AdS$_4$ Black Holes

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