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arXiv · 1512.06072

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

Pedro Liendo·Carlo Meneghelli·Vladimir Mitev
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Abstract

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. This mechanism can be explained by cohomological reduction with respect to a special nilpotent supercharge.

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Pedro Liendo, Carlo Meneghelli, Vladimir Mitev. 2016-01-20. On correlation functions of BPS operators in $3d$ $\mathcal{N}=6$ superconformal theories. https://doi.org/10.1007/s00220-016-2715-7

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