Hopf instantons, Chern-Simons vortices, and Heisenberg ferromagnets

P. A. Horváthy (1)

1 LMPT - Laboratoire de Mathématiques et Physique Théorique

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.

Domaines: Physique mathématique [math-ph]; Physique mathématique [math-ph]; Physique des Hautes Energies - Théorie [hep-th]

P. A. Horváthy. Hopf instantons, Chern-Simons vortices, and Heisenberg ferromagnets. Journal of Physics A: Mathematical and Theoretical, 2001, 34, pp.3079-3082. ⟨hal-00007560⟩