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Correlation Functions of Conserved Currents in N = 2 Superconformal Theory

Sergei M. Kuzenko, Stefan Theisen

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.

Correlation Functions of Conserved Currents in N = 2 Superconformal Theory

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.

Paper Structure

This paper contains 25 sections, 207 equations.

Table of Contents

  1. Introduction
  2. Superconformal building blocks
  3. Superconformal Killing vectors
  4. Two-point structures
  5. Three-point structures
  6. Specific features of ${\cal N}$ = 2 theory
  7. Correlators of ${\cal N}$ = 2 quasi-primary superfields
  8. Quasi-primary superfields
  9. Two-point functions
  10. Three-point functions
  11. The ${\cal N}$ = 2 supercurrent
  12. Flavour current superfields
  13. Mixed correlators
  14. Example: ${\cal N}$ = 4 super Yang-Mills
  15. Reduction to ${\cal N}$ = 1 superfields
  16. ...and 10 more sections