Anyonic Bogomol'nyi Solitons in a Gauged O(3) Sigma Model

TL;DR

This paper introduces self-dual abelian gauged O(3) sigma models with Maxwell and Chern-Simons terms, exploring their rich phase structures and soliton solutions, especially in the pure Chern-Simons limit.

Contribution

It presents a new class of gauged sigma models with combined Maxwell and Chern-Simons kinetic terms, analyzing their phases and solitons.

Findings

Models exhibit symmetric and broken gauge phases

Existence of rotationally symmetric solitons

Rich structure with various limits

Abstract

We introduce the self-dual abelian gauged $O(3)$ sigma models where the Maxwell and Chern-Simons terms constitute the kinetic terms for the gauge field. These models have quite rich structures and various limits. Our models are found to exhibit both symmetric and broken phases of the gauge group. We discuss the pure Chern-Simons limit in some detail and study rotationally symmetric solitons.