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The BPS Domain Wall Solutions in Self-Dual Chern-Simons-Higgs Systems
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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.
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Domain Walls in Large-$N$ QCD$_3$
Fluctuating the composite domain-wall profile in the bosonic dual of large-N QCD3 produces a level-N gauged WZW theory on the wall, matching anomaly-inflow expectations.
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