Wilson loop correlators in $\mathcal{N}=2$ superconformal quivers

Galvagno, Francesco; Preti, Michelangelo

doi:10.48550/arxiv.2105.00257

Cited by 9 publications

(10 citation statements)

References 73 publications

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“…Many other observables of the gauge theory can be described by the matrix model, such as the extremal correlators of chiral/anti-chiral fields [9][10][11][12][13][14][15][16][17][18][19][20][21][22], the correlators of chiral operators with the BPS Wilson loop [16,[23][24][25] and the brehmsstrahlung function [26][27][28]. The same localization techniques can also be applied to study various properties of the massive N = 2 * SYM theory [29][30][31][32] and of quiver theories [33][34][35][36][37].…”

Section: Introduction and Summary Of Resultsmentioning

confidence: 99%

Exact results in a N=2 superconformal gauge theory at strong coupling

Beccaria,

Billo,

Frau

et al. 2021

Preprint

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We consider the N = 2 SYM theory with gauge group SU(N ) and a matter content consisting of one multiplet in the symmetric and one in the anti-symmetric representation. This conformal theory admits a large-N 't Hooft expansion and is dual to a particular orientifold of AdS 5 × S 5 . We analyze this gauge theory relying on the matrix model provided by localization à la Pestun. Even though this matrix model has very non-trivial interactions, by exploiting the full Lie algebra approach to the matrix integration, we show that a large class of observables can be expressed in a closed form in terms of an infinite matrix depending on the 't Hooft coupling λ. These exact expressions can be used to generate the perturbative expansions at high orders in a very efficient way, and also to study analytically the leading behavior at strong coupling. We successfully compare these predictions to a direct Monte Carlo numerical evaluation of the matrix integral and to the Padé resummations derived from very long perturbative series, that turn out to be extremely stable beyond the convergence disk |λ| < π 2 of the latter.

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Section: Introduction and Summary Of Resultsmentioning

confidence: 99%

Exact results in a N=2 superconformal gauge theory at strong coupling

Beccaria,

Billo,

Frau

et al. 2021

Preprint

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“…First, it would be completely straightforward but rather tedious to extend the computations presented here to the terms involving a product of two values of ζ or higher in (1.2) and (1.3). In this work, we have focused on the terms with maximal transcendality; it might be possible to find analytic formulas for the coefficients of ofher terms with simple patterns, like those with just powers of ζ 3 , as in [29]. It should also be possible to extend the analysis presented here for N " 2 SCQD to extremal correlators of other Lagrangian N " 2…”

Section: Introductionmentioning

confidence: 99%

The planar limit of ${\cal N}=2$ chiral correlators

Fiol,

Fukelman

2021

Preprint

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We derive the planar limit of 2-and 3-point functions of single-trace chiral primary operators of N " 2 SQCD on S 4 , to all orders in the 't Hooft coupling. In order to do so, we first obtain a combinatorial expression for the planar free energy of a hermitian matrix model with an infinite number of arbitrary single and double trace terms in the potential; this solution might have applications in many other contexts.We then use these results to evaluate the analogous planar correlation functions on R 4 . Specifically, we compute all the terms with a single value of the ζ function for a few planar 2-and 3-point functions, and conjecture general formulas for these terms for all 2-and 3-point functions on R 4 .

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“…With the help of the localized matrix model, it is possible to explicitly compute perturbative expansions with a well defined organization in terms of transcendentality, which is a prediction for Feynman diagrams computations. Since in special N = 2 theories it is also possible to go beyond perturbation theory [80,81,82,83,84,85,86], it would be interesting to explore the N = 2 emitted radiation in these contexts to explore the holographic perspectives.…”

Section: Discussionmentioning

confidence: 99%

Emitted Radiation in Superconformal Field Theories

Galvagno¹

2021

Preprint

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The computation of the emitted radiation by an accelerated external particle can be addressed in a gauge theory with the insertion of a Wilson loop. With the addition of conformal symmetry this problem is consistently formalized in terms of correlation functions in presence of the Wilson loop, which are constrained by defect CFT techniques. In theories with extended supersymmetry we can also resort to supersymmetric localization on a four-sphere. By using this set of tools, we review the close relation between the Bremsstrahlung function and the stress energy tensor one-point coefficient in abelian theories and in superconformal field theories. After presenting the state of the art for generic CFTs, we mainly focus on the supersymmetric cases. We discuss the differences between the maximally supersymmetric N = 4 case and N = 2 SCFTs, and finally we review the general and exact result for the emitted radiation in terms of a first order derivative of the Wilson loop expectation value on a squashed sphere.

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Wilson loop correlators in $\mathcal{N}=2$ superconformal quivers

Cited by 9 publications

References 73 publications

Exact results in a N=2 superconformal gauge theory at strong coupling

Exact results in a N=2 superconformal gauge theory at strong coupling

The planar limit of ${\cal N}=2$ chiral correlators

Emitted Radiation in Superconformal Field Theories

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