Logarithmic Behaviours in the Feigin-Fuchs Construction of the c=-2 Conformal Field Theory

TL;DR

This paper investigates logarithmic behaviors in a specific conformal field theory with central charge -2, using the Feigin-Fuchs construction and regularization to handle indeterminate forms in correlation functions.

Contribution

It introduces a regularization method to extract logarithmic behaviors in four-point correlation functions within the c=-2 conformal field theory using Feigin-Fuchs construction.

Findings

Logarithmic behaviors are identified in four-point functions.

Regularization resolves indeterminate forms in calculations.

Method enhances understanding of logarithmic CFTs.

Abstract

We obtain logarithmic behaviours of a four-point correlation function in the c=-2 conformal field theory by using the Feigin-Fuchs construction. It becomes an indeterminate form by a naive evaluation, but is obtained by introducing an appropriate regularization procedure.