Solitons in finite droplets of noncommutative Maxwell-Chern-Simons theory
Abstract
We find soliton solutions of the noncommutative Maxwell-Chern-Simons theory confined to a finite quantum Hall droplet. The solitons are exactly as hypothesized in Manu. We also find new variations on these solitons. We compute their flux and their energies. The model we consider is directly related to the model proposed by PolychronakosPoly and studied by Hellerman and Van RaamsdonkHvR where it was shown that it is equivalent to the quantum Hall effect.
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