Exact results for Wilson loops in orbifold ABJM theory

Abstract

We investigate the exact results for circular 1/4 and 1/2 BPS Wilson loops in the $d=3$ $\mathcal{N}=4$ super Chern-Simons-matter theory that could be obtained by orbifolding Aharony-Bergman-Jafferis-Maldacena (ABJM) theory. The partition function of the $\mathcal{N}=4$ orbifold ABJM theory has been computed previously in the literature. In this paper, we re-derive it using a slightly different method. We calculate the vacuum expectation values of the circular 1/4 BPS Wilson loops in fundamental representation and of circular 1/2 BPS Wilson loops in arbitrary representations. We use both the saddle point approach and Fermi gas approach. The results for Wilson loops are in accord with the available gravity results.

V1, 19 pages, 1 figure; V2, 24 pages, 1 figure, general representations added; V3, 26 pages, no figure, published version

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Cited by in corpus (5)

• Construction and classification of novel BPS Wilson loops in quiver Chern-Simons-matter theories
• On the structure of non-planar strong coupling corrections to correlators of BPS Wilson loops and chiral primary operators
• The quantum 1/2 BPS Wilson loop in $\mathcal{N}=4$ Chern-Simons-matter theories
• String theory duals of Wilson loops from Higgsing
• New BPS Wilson loops in $\mathcal{N}\text{= 4}$ circular quiver Chern-Simons-matter theories