Integrable auxiliary field deformations of coset models

TL;DR

This paper proves a new family of integrable deformations for $ ext{Z}_N$-coset models in two dimensions, extending the auxiliary field method used in principal chiral models.

Contribution

It introduces and generalizes an auxiliary field approach to establish integrability of $ ext{Z}_N$-coset model deformations.

Findings

Existence of integrable deformations for $ ext{Z}_N$-coset models.

Extension of auxiliary field method to new models.

Demonstration of integrability in the deformed models.

Abstract

We prove the existence of a family of integrable deformations of $\mathbb{Z}_N$-coset models in two dimensions. Our approach uses and generalises the method of auxiliary fields that was recently introduced for the principal chiral model by Ferko and Smith.