Hopf instantons, Chern-Simons vortices, and Heisenberg ferromagnets
Horváthy, P. A.
HAL, hal-00007560 / Harvested from HAL
Text on HAL
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.
Publié le : 2001-07-05
Classification:  [MATH.MATH-MP]Mathematics [math]/Mathematical Physics [math-ph],  [PHYS.MPHY]Physics [physics]/Mathematical Physics [math-ph],  [PHYS.HTHE]Physics [physics]/High Energy Physics - Theory [hep-th] 
@article{hal-00007560,
     author = {Horv\'athy, P. A.},
     title = {Hopf instantons, Chern-Simons vortices, and Heisenberg ferromagnets},
     journal = {HAL},
     volume = {2001},
     number = {0},
     year = {2001},
     language = {en},
     url = {http://dml.mathdoc.fr/item/hal-00007560}
}

Horváthy, P. A. Hopf instantons, Chern-Simons vortices, and Heisenberg ferromagnets. HAL, Tome 2001 (2001) no. 0, . http://gdmltest.u-ga.fr/item/hal-00007560/