Bootstrap of the defect 1/2 BPS Wilson lines in N=4 Chern-Simons-matter theories

TL;DR

This paper analyzes the defect conformal field theory on 1/2 BPS Wilson lines in N=4 Chern-Simons-matter theories, computing correlation functions and exploring strong coupling behavior.

Contribution

It provides the first detailed computation of 4-point functions of the superdisplacement multiplet in this setting, including strong coupling results.

Findings

Correlation functions determined by cross-ratios

Strong coupling results agree with orbifold ABJM models

Identification of the superdisplacement multiplet

Abstract

We compute correlation functions of local operator insertions on the 1/2 BPS Wilson lines of N=4 Chern-Simons-matter theories in 3 dimensions. We study the algebra preserved by the defect CFT supported on the line, identify the superdisplacement multiplet and discuss some of its weak-coupling realizations. By employing a superspace description, we present the 4-point functions of the superdisplacement and show how they are determined by functions of cross-ratios. Within an analytic bootstrap approach, we derive these functions at leading and next-to-leading order at strong coupling, obtaining a result in agreement with appropriate orbifolds of the ABJM case considered in arXiv:2004.07849.