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29 March 2024
 
  » arxiv » hep-th/9306055

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Chern - Simons Gauge Field Theory of Two - Dimensional Ferromagnets
L. Martina ; O. K. Pashaev ; G. Soliani ;
Date 11 Jun 1993
AbstractA Chern-Simons gauged Nonlinear Schr"odinger Equation is derived from the continuous Heisenberg model in 2+1 dimensions. The corresponding planar magnets can be analyzed whithin the anyon theory. Thus, we show that static magnetic vortices correspond to the self-dual Chern - Simons solitons and are described by the Liouville equation. The related magnetic topological charge is associated with the electric charge of anyons. Furthermore, vortex - antivortex configurations are described by the sinh-Gordon equation and its conformally invariant extension. Physical consequences of these results are discussed.
Source arXiv, hep-th/9306055
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