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Circular Wilson loop in $$ \mathcal{N} $$ = 2* super Yang-Mills theory at two loops and localization

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We present a two-loop calculation of the supersymmetric circular Wilson loop in the $$ \mathcal{N} $$ = 2* super Yang-Mills theory on the four-sphere. We develop an efficient framework for… Click to show full abstract

We present a two-loop calculation of the supersymmetric circular Wilson loop in the $$ \mathcal{N} $$ = 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.

Keywords: wilson loop; loop mathcal; super yang; circular wilson; mathcal super; yang mills

Journal Title: Journal of High Energy Physics
Year Published: 2021

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