Quantum Group Analysis of the Bound States in the Strong Coupling Regime of the Modified Sine-Gordon Model

TL;DR

This paper applies quantum group analysis to the strong-coupling Sine-Gordon model, revealing infinitely many bound states and new S-matrix solutions related to quantum algebra representations.

Contribution

It introduces novel solutions to Yang-Baxter equations for the Sine-Gordon model using quantum group methods in the strong-coupling regime.

Findings

Discovery of infinitely many bound states.

New S-matrix solutions related to quantum algebra representations.

Connections to conformal field theory structures.

Abstract

A quantum group analysis is applied to the Sine-Gordon model (or may be its version) in a strong-coupling regime. Infinitely many bound states are found together with the corresponding S-matrices. These new solutions of the Yang-Baxter eqations are related to some reducible representations of the quantum $sl(2)$ algebra resembling the Kac-Moody algebra representations in the Wess-Zumino-Witten-Novikov conformal field theory.