Implications of N=5, 6 superconformal symmetry in three spacetime dimensions

TL;DR

This paper computes three-point correlation functions of supercurrent multiplets in N=5 and N=6 superconformal field theories in three dimensions, revealing their structure and invariance properties under mirror symmetry.

Contribution

It provides a unique determination of the three-point functions for N=5 and N=6 superconformal theories, linking them to two-point function parameters and mirror symmetry invariance.

Findings

Three-point functions are uniquely fixed up to an overall coefficient.

Correlation functions are consistent with mirror map invariance.

Results connect superconformal Ward identities to correlation function structure.

Abstract

For general N=5 and N=6 superconformal field theories in three dimensions, we compute the three-point correlation functions of the supercurrent multiplets. In each case, N=5 and N=6, the functional form of this correlator is uniquely fixed modulo an overall coefficient which is related, by superconformal Ward identities, to the parameter in the two-point function of the supercurrent. The structure of the correlation functions obtained is consistent with the property that every N=5 superconformal field theory, considered as a special N=4 theory, is invariant under the mirror map.