Circular Wilson loop in 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=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.

37 pages, 1 figure

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• $t{t}^{\ast }$ equations, localization and exact chiral rings in 4d N=2 SCFTs
• Exact correlation functions in SU(2) N=2 superconformal QCD
• Operator Mixing in Large $N$ Superconformal Field Theories on ${\mathbb{S}}^4$ and Correlators with Wilson loops
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• Wilson Loops in N=2 Superconformal Yang-Mills Theory
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Cited by in corpus (2)

• N=2 Conformal SYM theories at large N
• Loop equations for generalised eigenvalue models