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Solitons in finite droplets of noncommutative Maxwell-Chern-Simons theory

G. Alexanian·M. B. Paranjape·I. Prémont-Schwarz
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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.

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G. Alexanian, M. B. Paranjape, I. Prémont-Schwarz. 2005-11-22. Solitons in finite droplets of noncommutative Maxwell-Chern-Simons theory. https://doi.org/10.1088/1126-6708%2F2006%2F01%2F020

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