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arXiv · 1506.06192

Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory

Hao Ouyang·Jun-Bao Wu·Jia-ju Zhang
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Abstract

We investigate the supersymmetric Wilson loops in $d=3$ $\mathcal{N}=4$ 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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Hao Ouyang, Jun-Bao Wu, Jia-ju Zhang. 2015-12-03. Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory. https://doi.org/10.1007/jhep11(2015)213

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