Kinks in a non-linear massive sigma model

TL;DR

This paper studies kink solitary wave solutions in a massive non-linear sigma model with an S^2 target, linking these solutions to non-relativistic solitary waves in ferromagnetic spin chains.

Contribution

It characterizes the kink solutions in a non-linear sigma model with an S^2 target and connects them to ferromagnetic spin chain dynamics.

Findings

Identification of kink solutions in the sigma model

Connection to non-relativistic solitary waves in spin chains

Description of the moduli space of solutions

Abstract

We describe the kink solitary waves of a massive non-linear sigma model with an ${\mathbb S}^2$ sphere as the target manifold. Our solutions form a moduli space of non-relativistic solitary waves in the long wavelength limit of ferromagnetic linear spin chains.