Logarithmic Currents in the SU(2)_0 WZNW model

TL;DR

This paper investigates four-point correlation functions of spin 1 operators in the SU(2)_0 WZNW model, revealing logarithmic terms indicative of logarithmic conformal field theory and discussing their crossing symmetry properties.

Contribution

It provides a detailed analysis of logarithmic terms in correlation functions within the SU(2)_0 WZNW model, highlighting conditions for crossing symmetry preservation.

Findings

Correlation functions contain logarithmic terms.

Logarithmic conformal field theory interpretation.

Crossing symmetry can be maintained with additional quantum numbers.

Abstract

We study four point correlation functions of the spin 1 operators in the SU(2)_0 WZNW model. The general solution which is everywhere single-valued has logarithmic terms and thus has a natural interpretation in terms of logarithmic conformal field theory. These are not invariant under all the crossing symmetries but can remain if fields possess additional quantum numbers.