Exact String-like Solutions of the Gauged Nonlinear O(3) Model

TL;DR

This paper derives exact soliton-like solutions in a gauged nonlinear sigma model with Chern-Simons term, revealing domain wall features and calculating their energy, charge, and spin.

Contribution

It introduces a method to find exact solutions in the gauged nonlinear sigma model with Chern-Simons term, highlighting their soliton and domain wall characteristics.

Findings

Exact soliton-like solutions with domain wall features

Computed total energy, charge, and spin of solutions

Demonstrated conditions for least energy solutions in the model

Abstract

We show that the least energy conditions in the gauged nonlinear sigma model with Chern-Simons term lead to exact soliton-like solutions which have the same features as domain walls. We will derive and discuss the corresponding solutions, and compute the total energy, charge, and spin of the resulting system.