$\Phi^{(2)}$ Perturbations of WZW Model

TL;DR

This paper investigates perturbations of the $su(2)_k$ WZW model, demonstrating its integrability through conserved currents and exploring its particle spectrum and scattering processes.

Contribution

It provides the first explicit construction of quantum conserved currents for the perturbed $su(2)_k$ WZW model, establishing its integrability.

Findings

Presence of nontrivial decay processes in the model

Explicit conserved currents confirming integrability

Discussion of the model's scattering theory

Abstract

We study $su(2)_k$ WZW model perturbed by a multiplet of primary fields. The theory has a rich variety of particles. Presence of nontrivial decay processes is a peculiarity of the model. We prove integrability by explicit construction of quantum conserved currents. The scattering theory is briefly discussed.