Correlation Functions of Conserved Currents in N = 2 Superconformal Theory

TL;DR

This paper derives the structure of two- and three-point correlation functions of supercurrents and flavor currents in N=2 superconformal theories using a supersymmetric formalism, and compares them to N=1 results.

Contribution

It provides a comprehensive analysis of correlation functions in N=2 superconformal theories, including their expression in N=1 superfields and the structure of supercurrent multiplets.

Findings

Explicit forms of two- and three-point functions derived

Comparison with N=1 superfield correlation functions performed

Discussion of supercurrent superfield and anomaly multiplets included

Abstract

Using a manifestly supersymmetric formalism, we determine the general structure of two- and three- point functions of the supercurrent and the flavour current of N = 2 superconformal field theories. We also express them in terms of N = 1 superfields and compare to the generic N = 1 correlation functions. A general discussion of the N = 2 supercurrent superfield and the multiplet of anomalies and their definition as derivatives with respect to the supergravity prepotentials is also included.