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Supersymmetric Wilson loops in $ \mathcal{N}=4 $ super Chern-Simons-matter theory


We investigate the supersymmetric Wilson loops in?d=3?N=4?super Chern-Simons-matter theory obtained from non-chiral orbifold of ABJM theory. We work in both Minkowski spacetime and Euclidean space, and we construct 1/4 and 1/2 BPS Wilson loops. We also provide a complete proof that the difference between 1/4 and 1/2 Wilson loops is?Q-exact with?Q?being some supercharge that is preserved by both the 1/4 and 1/2 Wilson loops. This plays an important role in applying the localization techniques to compute the vacuum expectation values of Wilson loops. We also study the M-theory dual of the 1/2 BPS circular Wilson loop.
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Recommended references: Hao Ouyang,Jun-Bao Wu,Jia-ju Zhang.(2016).Supersymmetric Wilson loops in $ \mathcal{N}=4 $ super Chern-Simons-matter theory.[ChinaXiv:201609.00959] (Click&Copy)
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[V1] 2016-09-13 08:48:08 chinaXiv:201609.00959V1 Download
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