English

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

High Energy Physics - Theory 2015-12-04 v3 General Relativity and Quantum Cosmology

Abstract

We investigate the supersymmetric Wilson loops in d=3d=3 N=4\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 QQ-exact with QQ 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.

Keywords

Cite

@article{arxiv.1506.06192,
  title  = {Supersymmetric Wilson loops in N=4 super Chern-Simons-matter theory},
  author = {Hao Ouyang and Jun-Bao Wu and Jia-ju Zhang},
  journal= {arXiv preprint arXiv:1506.06192},
  year   = {2015}
}

Comments

V1, 35 pages; V2, 36 pages, references added; V3, 36 pages, typos corrected, more or less published version