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 Schrödinger models is given. Using the equivalence, we find infinitely many conserved integrals of both models.
|Number of pages||6|
|Journal||Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics|
|Publication status||Published - 1996 Sept 5|
Bibliographical noteFunding Information:
We like to thank Prof. H.J. Shin for useful discussions. This work is supportedin part by the programo f Basic Science Research,M inistry of Education BSRI-952442/BSRI-951419, and by Korea Science and Engineering Foundation through the Center for Theoretical Physics, SNU.
ASJC Scopus subject areas
- Nuclear and High Energy Physics