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

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.

16 pages, LaTeX, no figure, a minor change in acknowledgments

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• Solitons in 1+1 Dimensional Gauged Sigma Models
• Self-dual Maxwell Chern-Simons Solitons In 1+1 Dimensions
• The Chern-Simons Coefficient in Supersymmetric Non-abelian Chern-Simons Higgs Theories
• Supersymmetric soliton solution in (1+1)-dimensional Ultracold Quantum Gases
• Mass Spectra of N=2 Supersymmetric SU(n) Chern-Simons-Higgs Theories
• Trions in 1+1 dimensions