Holographic Wilson Loop One-point Functions in ABJM Theory

TL;DR

This paper calculates the correlation between Wilson loops and local operators in ABJM theory using holography, providing analytic results that match localization computations in the large-N limit.

Contribution

It presents the first holographic computation of Wilson loop one-point functions in ABJM theory involving M2-brane fluctuations.

Findings

Analytic expressions for Wilson loop-one point functions in ABJM.

Perfect agreement with localization results at large N.

Extension to stress-energy tensor correlators.

Abstract

We compute the correlation function between a circular half-BPS Wilson loop (or straight Wilson line) and a local operator in ABJM theory utilizing its M-theory description. The local operator can be a $1/3$-BPS single-trace chiral primary operator or the stress-energy tensor. Using the AdS/CFT correspondence, these correlators are dual to fluctuations of a probe M2-brane in $AdS_4 \times S^7/\mathbb{Z}_k$. We derive analytic results for both cases and compare them with existing results based on supersymmetric localization in the literature. In the large-$N$ limit with $k$ finite, our holograkphic results exhibit perfect agreement with localization.