A note on multiply wound BPS Wilson loops in ABJM

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.

40 pages

References in corpus (7)

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• Fractional M2-branes
• Wilson Loops in Superconformal Chern-Simons Theory and Fundamental Strings in Anti-de Sitter Supergravity Dual
• Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory
• Three-dimensional N=6 SCFT's and their membrane dynamics
• BPS Wilson loops and Bremsstrahlung function in ABJ(M): a two loop analysis
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• New BPS Wilson loops in $\mathcal{N}\text{= 4}$ circular quiver Chern-Simons-matter theories
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• Interpolating Wilson loops and enriched RG flows
• On three-point functions in ABJM and the latitude Wilson loop
• ABJM $\theta$-Bremsstrahlung at four loops and beyond
• ABJM $\theta$-Bremsstrahlung at four loops and beyond: non-planar corrections
• Interpolating Bremsstrahlung function in ABJM
• Framing fermionic Wilson loops in ABJ(M)