Correlation functions in conformal Toda field theory II

TL;DR

This paper demonstrates that certain three- and four-point correlation functions in conformal Toda field theory can be expressed as finite-dimensional integrals, advancing the analytical understanding of these complex functions.

Contribution

It provides explicit finite-dimensional integral representations for specific correlation functions involving semi-degenerate and degenerate fields in Toda field theory.

Findings

Three-point correlation functions with semi-degenerate fields are representable as finite integrals.

Four-point functions with degenerate and semi-degenerate fields can also be expressed as finite integrals.

The results extend the analytical tools available for studying Toda field theory.

Abstract

This is the second part of the paper 0709.3806v2. Here we show that three-point correlation function with one semi-degenerate field in Toda field theory as well as four-point correlation function with one completely degenerate and one semi-degenerate field can be represented by the finite dimensional integrals.