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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Bianchi, M.S. A note on multiply wound BPS Wilson loops in ABJM. J. High Energ. Phys. 2016, 47 (2016). https://doi.org/10.1007/JHEP09(2016)047
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DOI: https://doi.org/10.1007/JHEP09(2016)047