Three-point correlation functions in N=1 Super Lioville Theory

TL;DR

This paper proposes exact three-point correlation functions for N=1 supersymmetric Liouville theory using a generalized special function, extending prior work and discussing reflection amplitudes in the supersymmetric context.

Contribution

It introduces a new generalized special function to describe three-point amplitudes in N=1 super Liouville theory, expanding the analytical tools for supersymmetric conformal field theories.

Findings

Exact three-point correlation functions derived

Introduction of a generalized special function for supersymmetric case

Discussion of reflection amplitudes in N=1 super Liouville theory

Abstract

In this letter we propose exact three-point correlation functions for N=1 supersymmetric Liouville theory. Along the lines of Zamolodchikov and Zamolodchikov paper (hep-th/9506136) we propose a generalized special function which describe the three-point amplitudes. We consider briefly the so called reflection amplitudes in the supersymmetric case.