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 [2]. 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 [5] and also studied by Hellerman and Van Raamsdonk [6]. They show that this model is equivalent to the Laughlin theory [7] of the quantum Hall effect. Our solitons should be thought of as classical vortex configurations of this theory.
- Publication:
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Journal of High Energy Physics
- Pub Date:
- January 2006
- DOI:
- 10.1088/1126-6708/2006/01/020
- arXiv:
- arXiv:hep-th/0508168
- Bibcode:
- 2006JHEP...01..020A
- Keywords:
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- High Energy Physics - Theory
- E-Print:
- 18 pages, 7 figures, minor corrections, version accepted for publication, this time really!