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Circular Wilson loop in N=2* super Yang-Mills theory at two loops and localization

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arxiv 2003.10448 v1 pith:DVJ2QHLE submitted 2020-03-23 hep-th

classification hep-th
keywords circularlocalizationloopsupersupersymmetrictheorywilsonyang-mills
verification ladder T0 review T1 audit T2 compute T3 formal

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We present a two-loop calculation of the supersymmetric circular Wilson loop in the N=2* super Yang-Mills theory on the four-sphere. We develop an efficient framework for computing contributing Feynman graphs that relies on using the embedding coordinates combined with the Mellin-Barnes techniques for propagator-like integrals on the sphere. Our results exactly match predictions of supersymmetric localization providing a nontrivial consistency check for the latter in non-conformal settings.

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  1. Correlators in non-conformal $\mathcal{N}=2$ gauge theories from localization

    hep-th 2025-05 conditional novelty 6.0 of 10

    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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