On three-point functions in ABJM and the latitude Wilson loop

TL;DR

This paper computes three-point functions involving twist-one operators in ABJM theory at weak coupling, relating them to Wilson loop expectation values and testing a matrix model conjecture at five loops.

Contribution

It introduces a novel relation between structure constants of three-point functions and Wilson loop expectation values in ABJM, enabling high-loop tests of the matrix model.

Findings

Computed structure constants for specific operators up to two-loop order.

Established a relation linking three-point functions to Wilson loop expectation values.

Performed a five-loop test confirming the matrix model conjecture.

Abstract

I consider three-point functions of twist-one operators in ABJM at weak coupling. I compute the structure constant of correlators involving one twist-one un-protected operator and two protected ones for a few finite values of the spin, up to two-loop order. As an application I enforce a limit on the gauge group ranks, in which I relate the structure constant for three chiral primary operators to the expectation value of a supersymmetric Wilson loop. Such a relation is then used to perform a successful five-loop test on the matrix model conjectured to describe the supersymmetric Wilson loop.