Interacting Wess-Zumino-Novikov-Witten Models

TL;DR

This paper investigates coupled WZNW models with current interactions, revealing a duality symmetry and analyzing their behavior at strong coupling, including their approach to conformal points and connections to principal chiral models.

Contribution

It demonstrates the existence of a strong/weak coupling duality and explores the phase structure and conformal behavior of interacting WZNW models.

Findings

Identification of strong/weak coupling duality symmetry.

Analysis of the strong coupling phase and conformal points.

Relation established between principal chiral models and interacting WZNW models.

Abstract

We study the system of two WZNW models coupled to each other via the current-current interaction. The system is proven to possess the strong/weak coupling duality symmetry. The strong coupling phase of this theory is discussed in detail. It is shown that in this phase the interacting WZNW models approach non-trivial conformal points along the renormalization group flow. The relation between the principal chiral model and interacting WZNW models is investigated.