Wess-Zumino-Witten model off criticality

TL;DR

This paper investigates the renormalization group flow of the Wess-Zumino-Witten model across various coupling regimes by calculating the two-loop Zamolodchikov's c-function, including negative couplings.

Contribution

It provides a detailed analysis of the RG flow and c-function behavior of the Wess-Zumino-Witten model beyond criticality, extending understanding of its coupling space.

Findings

RG flow properties characterized between g^2=0 and g^2=4π/k

Two-loop c-function evaluated for the model

Discussion of the model's behavior at negative couplings

Abstract

We study the renormalization group flow properties of the Wess-Zumino-Witten model in the region of couplings between $g^2=0$ and $g^2=4\pi/k$, by evaluating the two-loop Zamolodchikov's $c$-function. We also discuss the region of negative couplings.