Deformed Coset Models From Gauged WZW Actions

TL;DR

This paper presents a systematic approach to deform G/H-coset models using gauged WZW actions, enabling the construction of conserved currents and soliton solutions through integrability techniques.

Contribution

It introduces a new integrable deformation of coset models via potential terms, facilitating the explicit construction of solitons and conserved quantities.

Findings

Derived explicit n-soliton solutions for SU(2)/U(1) model

Established a method to generate infinitely many conserved currents

Demonstrated integrability of deformed coset models

Abstract

A general Lagrangian formulation of integrably deformed G/H-coset models is given. We consider the G/H-coset model in terms of the gauged Wess-Zumino-Witten action and obtain an integrable deformation by adding a potential energy term $Tr(gTg^{-1}\Tb )$, where algebra elements $T, \Tb $ belong to the center of the algebra {\bf h} associated with the subgroup H. We show that the classical equation of motion of the deformed coset model can be identified with the integrability condition of certain linear equations which makes the use of the inverse scattering method possible. Using the linear equation, we give a systematic way to construct infinitely many conserved currents as well as soliton solutions. In the case of the parafermionic SU(2)/U(1)-coset model, we derive $n$-solitons and conserved currents explicitly.