Solitons in finite droplets of noncommutative Maxwell-Chern-Simons theory
arXiv:hep-th/0508168 · doi:10.1088/1126-6708/2006/01/020
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 \cite{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 Polychronakos\cite{Poly} and studied by Hellerman and Van Raamsdonk\cite{HvR} where it was shown that it is equivalent to the quantum Hall effect.
18 pages, 7 figures, minor corrections, version accepted for publication, this time really!
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