On the Question of Degeneracy of Topological Solitons in a Gauged O(3) Non-Linear Sigma Model with Chern-Simons Term

TL;DR

This paper demonstrates that the degeneracy of topological solitons in a gauged O(3) non-linear sigma model with a Chern-Simons term can be lifted by introducing a symmetry-breaking potential, resulting in quantized physical properties.

Contribution

It introduces a method to remove soliton degeneracy by adding a symmetry-breaking potential in the gauged O(3) sigma model with Chern-Simons term.

Findings

Degeneracy of solitons can be eliminated with symmetry-breaking potential

Soliton energy, charge, flux, and angular momentum are quantized

Quantization occurs within each topological sector

Abstract

We show that the degeneracy of topological solitons in the gauged O(3) non-linear sigma model with Chern-Simons term may be removed by chosing a self-interaction potential with symmetry - breaking minima. The topological solitons in the model has energy,charge,flux and angular momentum quantised in each topological sector.