Bogomol'nyi equations for solitons in Maxwell-Chern-Simons gauge theories with the magnetic moment interaction term

TL;DR

This paper derives Bogomol'nyi equations for solitons in abelian Chern-Simons gauge theories with magnetic moment interactions, without assuming rotational symmetry, and analyzes zero modes around static solutions.

Contribution

It introduces a method to derive Bogomol'nyi equations without rotational invariance and evaluates zero modes in these gauge theories.

Findings

Derived Bogomol'nyi equations for non-rotationally invariant solitons

Evaluated zero modes around static soliton configurations

Extended understanding of soliton solutions in Chern-Simons theories

Abstract

Without assuming rotational invariance, we derive Bogomol'nyi equations for the solitons in the abelian Chern-Simons gauge theories with the anomalous magnetic moment interaction. We also evaluate the number of zero modes around a static soliton configuration.