Self-dual Maxwell Chern-Simons Solitons In 1+1 Dimensions

TL;DR

This paper investigates self-dual soliton solutions in a 1+1 dimensional Maxwell Chern-Simons model, revealing topological and non-topological solutions, their energy bounds, supersymmetry aspects, and nonrelativistic limits.

Contribution

It introduces self-dual soliton solutions in a reduced 1+1 dimensional model, including topological and non-topological types, with analysis of energy bounds and supersymmetry.

Findings

Existence of topological and nontopological self-dual solutions.

Energy bounds expressed via conserved quantities.

Nonrelativistic self-dual soliton solutions obtained.

Abstract

We study the domain wall soliton solutions in the relativistic self-dual Maxwell Chern-Simons model in 1+1 dimensions obtained by the dimensional reduction of the 2+1 model. Both topological and nontopological self-dual solutions are found in this case. A la BPS dyons here the Bogomol'ny bound on the energy is expressed in terms of two conserved quantities. We discuss the underlying supersymmetry. Nonrelativistic limit of this model is also considered and static, nonrelativistic self-dual soliton solutions are obtained.