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arxiv: hep-th/9612063 · v1 · pith:OYVLWPGKnew · submitted 1996-12-06 · ✦ hep-th

Self-Dual Chern-Simons Solitons and Generalized Heisenberg Ferromagnet Models

classification ✦ hep-th
keywords chern-simonsself-dualsolitonsdimensionalferromagnetgeneralizedheisenbergbogomol
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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 Bogomol'nyi bounds, are shown to exist when the generalized spin variable is valued in the Hermitian symmetric spaces G/H. 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.

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