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

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

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Bibliographic Details
Main Authors: A. V. Belitsky, G. P. Korchemsky
Format: Article
Language:English
Published: SpringerOpen 2021-04-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP04(2021)089
Description
Summary:Abstract We present a two-loop calculation of the supersymmetric circular Wilson loop in the N $$ \mathcal{N} $$ = 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.
ISSN:1029-8479