Hopf instantons, Chern-Simons vortices, and Heisenberg ferromagnets

Details Hopf instantons, Chern-Simons vortices, and Heisenberg ferromagnets Hopf instantons, Chern-Simons vortices, and Heisenberg ferromagnets

2000-11-23

arxiv.org/abs/hep-th/0011210v1

J.Phys.A34:3079-3082,2001

Physics

High Energy Physics

High Energy Physics - Theory

4 pages, Plain Tex, no figures

Scientific paper

10.1088/0305-4470/34/14/313

The dimensional reduction of the three-dimensional fermion-Chern-Simons model
(related to Hopf maps) of Adam et el. is shown to be equivalent to (i) either
the static, fixed--chirality sector of our non-relativistic spinor-Chern-Simons
model in 2+1 dimensions, (ii) or a particular Heisenberg ferromagnet in the
plane.

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