Vertex Operators and Soliton Solutions of Affine Toda Model with U(2) Symmetry

TL;DR

This paper explores the symmetry structure of a non-abelian affine Toda model with U(2) symmetry, revealing a q-deformed algebra and constructing specific soliton solutions.

Contribution

It uncovers the non-abelian Noether symmetry as a q-deformed algebra and explicitly constructs two vertex soliton solutions.

Findings

The model exhibits a q-deformed SL(2) x U(1) symmetry.

Explicit two vertex soliton solutions are constructed.

The symmetry structure is characterized by non-abelian Noether currents.

Abstract

The symmetry structure of non-abelian affine Toda model based on the coset $SL(3)/SL(2)\otimes U(1)$ is studied. It is shown that the model possess non-abelian Noether symmetry closing into a q-deformed $SL(2)\otimes U(1)$ algebra. Specific two vertex soliton solutions are constructed.