More on Generalized Heisenberg Ferromagnet Models

Abstract

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.

11 pages

References in corpus (1)

• Coherent State Quantization of SU(N) Non-Abelian Chern-Simons Particles

Cited by in corpus (16)

• Painlevé analysis of the coupled nonlinear Schrödinger equation for polarized optical waves in an isotropic medium
• Conservation Laws in Higher-Order Nonlinear Optical Effects
• Field Theory for Coherent Optical Pulse Propagation
• Quasideterminant solutions of the generalized Heisenberg magnet model
• Bicomplex formulation and Moyal deformation of (2+1)-dimensional Fordy-Kulish systems
• Self-Dual Chern-Simons Solitons and Generalized Heisenberg Ferromagnet Models
• Gauged Nonlinear Sigma Model and Boundary Diffeomorphism Algebra
• Higher Derivative CP(N) Model and Quantization of the Induced Chern-Simons Term
• Bogomol'nyi Solitons and Hermitian Symmetric Spaces
• Self-dual Chern-Simons Solitons in the Planar Ferromagnet
• Large N Limit of Higher Derivative Extended CP(N) Model
• Duality and Enhanced Gauge Symmetry in 2+1 Dimensions
• Effective Field Theory for Coherent Optical Pulse Propagation
• Quest for universal integrable models
• Schroedinger Representation of CP(N) Model for Large N
• On the Gauged Non-compact Spin System