Mixed three-point functions of conserved currents in three-dimensional superconformal field theory

We consider mixed three-point correlation functions of the supercurrent and flavor current in three-dimensional 1 <= N <= 4 superconformal field theories. Our method is based on the decomposition of the relevant tensors into irreducible components to guarantee that all possible tensor structures are systematically taken into account. We show that only parity-even structures appear in the correlation functions. In addition to the previous results obtained in [E. I. Buchbinder et al.J. High Energy Phys. 06 (2015) 138], it follows that supersymmetry forbids parity-odd structures in three-point functions involving the supercurrent and flavor current multiplets.

Automated summary

In this study, the mixed three-point correlation functions of the supercurrent and flavor current in three-dimensional 1 <= N <= 4 superconformal field theories were examined. The results showed that only parity-even structures appeared in the correlation functions, and it was also found that supersymmetry forbids parity-odd structures in three-point functions involving the supercurrent and flavor current multiplets.