Exact results for Wilson loops in orbifold ABJM theory

TL;DR

This paper derives exact results for Wilson loops in orbifold ABJM theory, confirming their consistency with gravity dual predictions using saddle point and Fermi gas methods.

Contribution

It provides a new derivation of Wilson loop expectation values in orbifold ABJM theory and extends previous results to arbitrary representations.

Findings

Wilson loop values match gravity dual predictions

Derived using saddle point and Fermi gas approaches

Extended to arbitrary representations

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.