On correlation functions of BPS operators in $3d$ $\mathcal{N}=6$ superconformal theories

Understand

We introduce a novel harmonic superspace for $3d$ $\mathcal{N}=6$ superconformal field theories that is tailor made for the study of correlation functions of BPS operators.

• We calculate a host of two- and three-point functions in full generality and put strong constraints on the form of four-point functions of some selected BPS multiplets.
• For the four-point function of $\frac{1}{2}$-BPS operators we obtain the associated Ward identities by imposing the absence of harmonic singularities.
• The latter imply the existence of a solvable subsector in which the correlator becomes topological.