Higher Rank ABJM Wilson Loops from Matrix Models

TL;DR

This paper calculates the expectation values of higher-dimensional Wilson loops in ABJM theory using matrix models, matching holographic results and including 1/N corrections.

Contribution

It provides explicit matrix model computations for higher rank Wilson loops in ABJM theory, extending previous results and incorporating quantum corrections.

Findings

Matching holographic results for leading order.

Explicit formulas for symmetric and antisymmetric representations.

Computed 1/N quantum corrections.

Abstract

We compute the vacuum expectation values of $1/6$ supersymmetric Wilson loops in higher dimensional representations of the gauge group in ABJM theory. We present results for the $m$-symmetric and $m$-antisymmetric representations by exploiting standard matrix model techniques. At leading order, in the saddle point approximation, our expressions reproduce holographic results from both D6 and D2 branes corresponding to the antisymmetric and symmetric representations, respectively. We also compute 1/N corrections to the leading saddle point results.