The BPS Domain Wall Solutions in Self-Dual Chern-Simons-Higgs Systems

TL;DR

This paper investigates domain wall solitons in self-dual Chern-Simons-Higgs systems, deriving explicit solutions, energy bounds, and exploring their supersymmetric properties in a reduced two-dimensional spacetime.

Contribution

It provides explicit domain wall solutions, establishes the Bogomolny energy bound, and discusses supersymmetry in self-dual Chern-Simons-Higgs models.

Findings

Explicit soliton configurations saturating the energy bound

Derivation of Bogomolny bound using conserved quantities

Analysis of nonrelativistic counterparts and supersymmetry

Abstract

We study domain wall solitons in the relativistic self-dual Chern-Simons Higgs systems by the dimensional reduction method to two dimensional spacetime. The Bogomolny bound on the energy is given by two conserved quantities in a similar way that the energy bound for BPS dyons is set in some Yang-Mills-Higgs systems in four dimensions. We find the explicit soliton configurations which saturate the energy bound and their nonrelativistic counter parts. We also discuss the underlying N=2 supersymmetry.