Self-Dual Soliton Solution in a Generalized Jackiw-Pi Model

TL;DR

This paper introduces a generalized Jackiw-Pi model with a nonstandard kinetic term, develops a Bogomolnyi framework, and uncovers new solitonic equations through dimensional reduction, connecting to Chern-Simons Higgs theory.

Contribution

It presents a novel generalization of the Jackiw-Pi model, derives Bogomolnyi equations, and reveals new solitonic solutions in the reduced theory.

Findings

Derived Bogomolnyi equations for the generalized model

Connected the equations to Chern-Simons Higgs theory

Discovered new solitonic equations in reduced dimensions

Abstract

We consider a generalization of Jackiw-Pi model by introducing a nonstandard kinetic term. We present a Bogomolnyi framework for this theory and as a particular case we show that the Bogomolnyi equations of Chern-Simons Higgs theory can be obtained. Finally, the dimensionally reduced theory is analyzed and novel solitonic equations emerge.