More on Generalized Heisenberg Ferromagnet Models

Details More on Generalized Heisenberg Ferromagnet Models More on Generalized Heisenberg Ferromagnet Models

1996-04-08

arxiv.org/abs/hep-th/9604031v1

Phys.Lett. B383 (1996) 333-338

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

We generalize the integrable Heisenberg ferromagnet model according to each Hermitian symmetric spaces and address various new aspects of the generalized model. Using the first order formalism of generalized spins which are defined on the coadjoint orbits of arbitrary groups, we construct a Lagrangian of the generalized model from which we obtain the Hamiltonian structure explicitly in the case of $CP(N-1)$ orbit. The gauge equivalence between the generalized Heisenberg ferromagnet and the nonlinear Schr\"{o}dinger models is given. Using the equivalence, we find infinitely many conserved integrals of both models.

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