Abstract
We use localization techniques to compute the expectation values of supersymmetric Wilson loops in Chern-Simons theories with matter. We find the path-integral reduces to a non-Gaussian matrix model. The Wilson loops we consider preserve a single complex supersymmetry, and exist in any \(\mathcal{N}= 2 \) theory, though the localization requires superconformal symmetry. We present explicit results for the cases of pure Chern-Simons theory with gauge group U(N), showing agreement with the known results, and ABJM, showing agreement with perturbative calculations. Our method applies to other theories, such as Gaiotto-Witten theories, BLG, and their variants.
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ArXiv ePrint: 0909.4559
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Kapustin, A., Willett, B. & Yaakov, I. Exact results for Wilson loops in superconformal Chern-Simons theories with matter. J. High Energ. Phys. 2010, 89 (2010). https://doi.org/10.1007/JHEP03(2010)089
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DOI: https://doi.org/10.1007/JHEP03(2010)089