On some integrable deformations of the Wess-Zumino-Witten model

TL;DR

This paper explores new integrable deformations of the Wess-Zumino-Witten model, providing solutions and identifying three novel classes of integrable non-linear sigma models, including a modified Yang-Baxter model with a Wess-Zumino-Witten term.

Contribution

It introduces three new integrable non-linear sigma models by solving Lie algebra equations related to the Wess-Zumino-Witten model, including a modified Yang-Baxter sigma model.

Findings

Identified three types of new integrable models

Provided simple solutions to integrability equations

Included a modified Yang-Baxter sigma model with Wess-Zumino-Witten term

Abstract

Lie algebra valued equations translating the integrability of a general two-dimensional Wess-Zumino-Witten model are given. We found simple solutions to these equations and identified three types of new integrable non-linear sigma models. One of them is a modified Yang-Baxter sigma model supplemented with a Wess-Zumino-Witten term.