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Strong-coupling results for $\mathcal{N}=2$ superconformal quivers and holography
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abstract
We consider $\mathcal{N}=2$ superconformal quiver gauge theories in four dimensions and evaluate the chiral/anti-chiral correlators of single-trace operators. We show that it is convenient to form particular twisted and untwisted combinations of these operators suggested by the dual holographic description of the theory. The various twisted sectors are orthogonal and the correlators in each sector have always the same structure, as we show at the lowest orders in perturbation theory with Feynman diagrams. Using localization we then map the computation to a matrix model. In this way we are able to obtain formal expressions for the twisted correlators in the planar limit that are valid for all values of the 't Hooft coupling $\lambda$, and find that they are proportional to $1/\lambda$ at strong coupling. We successfully test the correctness of our extrapolation against a direct numerical evaluation of the matrix model and argue that the $1/\lambda$ behavior qualitatively agrees with the holographic description.
Forward citations
Cited by 2 Pith papers
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Lattice path combinatorics in superconformal Yang-Mills theories
Planar superconformal Yang-Mills determinant observables are shown to equal generalized Dyck path partition functions through a universal iterated integral expansion.
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The strong-coupling transseries for matrix Bessel determinant observables is generated from its perturbative part by shifting a→a−Δ and replacing moments I_n, with all Stokes constants fixed by two recurrences.
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