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Strong-coupling results for mathcal{N}=2 superconformal quivers and holography

M. Billo, M. Frau, F. Galvagno, A. Lerda, A. Pini

1/9/21 Published in : arXiv:2109.00559

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.

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The completely delocalized region of the Erdős-Rényi graph

Failure of Ornstein--Zernike asymptotics for the pair correlation function at high temperature and small density

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