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

We compute correlation functions of local operator insertions on the 1/2 BPS Wilson lines of N=4 Chern-Simons-matter theories in three dimensions. We study the algebra preserved by the defect conformal field theory supported on the line, identify the superdisplacement multiplet, and discuss some of its weak-coupling realizations. By employing a superspace description, we present the four-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 Bianchi et al. [Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT1, J. High Energy Phys. 08 (2020) 143].