Four-point functions in N=2 superconformal field theories

TL;DR

This paper analyzes four-point functions in N=2 superconformal field theories, showing they are fully determined by a single function of conformal cross-ratios using superconformal Ward identities.

Contribution

It demonstrates that four-point correlators of hypermultiplet bilinears are completely fixed by superconformal symmetry and analyticity, reducing the problem to a single arbitrary function.

Findings

Four-point functions are determined by one function of cross-ratios.

Superconformal Ward identities constrain the correlators.

Analyticity properties simplify the amplitude structure.

Abstract

Four-point correlation functions of hypermultiplet bilinear composites are analysed in N=2 superconformal field theory using the superconformal Ward identities and the analyticity properties of the composite operator superfields. It is shown that the complete amplitude is determined by a single arbitrary function of the two conformal cross-ratios of the space-time variables.