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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Ouyang, H., Wu, JB. & Zhang, Jj. Supersymmetric Wilson loops in \( \mathcal{N}=4 \) super Chern-Simons-matter theory. J. High Energ. Phys. 2015, 213 (2015). https://doi.org/10.1007/JHEP11(2015)213
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DOI: https://doi.org/10.1007/JHEP11(2015)213