The Symmetric Space and Homogeneous sine-Gordon Theories

TL;DR

This paper constructs two series of integrable, symmetric theories generalizing sine-Gordon, featuring soliton solutions, internal symmetries, and a known spectrum of massive states, described via gauged WZW models.

Contribution

It introduces new integrable models with internal symmetries as gauged WZW theories, extending sine-Gordon theory with soliton solutions and spectrum analysis.

Findings

Constructed two series of integrable theories

Identified soliton solutions and internal symmetries

Determined the spectrum of massive states

Abstract

Two series of integrable theories are constructed which have soliton solutions and can be thought of as generalizations of the sine-Gordon theory. They exhibit internal symmetries and can be described as gauged WZW theories with a potential term. The spectrum of massive states is determined.