Operator Product Expansion and Zero Mode Structure in Logarithmic CFT

TL;DR

This paper explores the structure of correlation functions and operator product expansions in logarithmic conformal field theory, emphasizing the importance of zero modes in indecomposable representations.

Contribution

It provides a detailed analysis of n-point functions and OPE structures in logarithmic CFT, highlighting the role of zero modes in these theories.

Findings

Explicit structure of 1-, 2-, and 3-point functions in indecomposable representations

Clarification of the role of zero modes in logarithmic CFT

Insights into the operator product expansion in these theories

Abstract

The generic structure of 1-, 2- and 3-point functions of fields residing in indecomposable representations of arbitrary rank are given. These in turn determine the structure of the operator product expansion in logarithmic conformal field theory. The crucial role of zero modes is discussed in some detail.