Self-dual Maxwell-Chern-Simons solitons from a Lorentz-violating model

TL;DR

This paper derives self-dual Maxwell-Chern-Simons solitons from a Lorentz-violating model, analyzing their properties through theoretical and numerical methods, revealing they are charged Nielsen-Olesen vortices.

Contribution

It introduces a novel derivation of self-dual solitons from Carroll-Field-Jackiw theory and studies their properties using both analytical and numerical approaches.

Findings

Solutions are Nielsen-Olesen vortices with electric charge

Bogomol'nyi equations are established and analyzed

Solutions exhibit self-duality and Lorentz-violation effects

Abstract

Self-dual abelian Higgs system, involving both the Maxwell and Chern-Simons terms are obtained from Carroll-Field-Jackiw theory by dimensional reduction. Bogomol'nyi-type equations are studied from theoretical and numerical point of view. In particular we show that the solutions of these equations are Nielsen-Olesen vortices with electric charge.