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arXiv · hep-th/9612063

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

Phillial Oh·Q-Han Park
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Abstract

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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Phillial Oh, Q-Han Park. 1996-12-06. Self-Dual Chern-Simons Solitons and Generalized Heisenberg Ferromagnet Models. https://doi.org/10.1016/s0370-2693(97)00314-6

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