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arXiv · 1605.01025

A note on multiply wound BPS Wilson loops in ABJM

Marco S. Bianchi
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Abstract

We consider BPS Wilson loops in planar ABJM theory, wound multiple times around the great circle. We compute the expectation value of the 1/6-BPS and 1/2-BPS Wilson loops to three- and two-loop order in perturbation theory, respectively, dealing with the combinatorics of multiple winding via recursive relations. For the 1/6-BPS Wilson loop we perform the computation at generic framing and at framing 1 we find agreement with the localization result. For the 1/2-BPS Wilson loop we compute the expectation value at trivial framing and by comparison with the matrix model expression we extract the framing dependence of the fermion diagrams.

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Marco S. Bianchi. 2016-05-03. A note on multiply wound BPS Wilson loops in ABJM. https://doi.org/10.1007/jhep09(2016)047

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