  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.
