The Field Theory of Generalized Ferromagnet on the Hermitian Symmetric Spaces

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We discuss the recent developments in the generalized continuous Heisenberg ferromagnet model formulated as a nonrelativistic field theory defined on the target space of the coadjoint orbits. Hermitian symmetric spaces are special because they provide completely integrable field theories in 1+1 dimension and self-dual Chern-Simons solitons and vortices in 2+1 dimension.
9 pages, Talk given at 15th Symposium on Theoretical Physics: "Field Theoretical Methods in Fundamental Physics", Seoul, Korea, August 1996

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