Self-dual Chern-Simons solitons and generalized Heisenberg ferromagnet models

We consider the (2+1)-dimensional gauged Heisenberg ferromagnet model coupled with the Chern-Simons gauge fields. Self-dual Chern-Simons solitons, the static zero energy solution saturating Bogomolʹnyi bounds, are shown to exist when the generalized spin variable is valued in the Hermitian symmetric spaces GH. By gauging the maximal torus subgroup of H, we obtain self-dual solitons which satisfy vortex-type nonlinear equations thereby extending the two dimensional instantons in a nontrivial way. An explicit example for the CP(N) case is given.