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Integrated line-defect correlators in $Sp(N)$ SCFTs at strong coupling
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abstract
We consider two four-dimensional SCFTs with gauge group $Sp(N)$: the $\mathcal{N}=4$ SYM theory and the $\mathcal{N}=2$ theory with four hypermultiplets in the fundamental representation and one hypermultiplet in the rank-2 antisymmetric representation of the gauge group. Using supersymmetric localization and by exploiting a Toda equation, we compute the integrated correlator between a half-BPS Wilson line and two moment map operators of conformal dimension 2. We obtain exact expressions for this observable, valid for any value of the 't Hooft coupling in the large $N$-limit of the theory and we derive the corresponding strong coupling expansions.
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Cited by 2 Pith papers
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Correlators in non-conformal $\mathcal{N}=2$ gauge theories from localization
Two-point correlators of chiral/anti-chiral operators in SU(N) N=2 gauge theories with a non-zero beta function, computed by Feynman diagrams in flat space, match sphere-localization matrix model results exactly throu...
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Analytical and numerical routes to strong coupling in $\mathcal{N}=2$ SCFTs
The authors derive the first subleading strong-coupling corrections for twisted Wilson loop correlators and an integrated correlator in the planar N=2 quiver gauge theory, and introduce a numerical integral-equation m...
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