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

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

1996-12-06

arxiv.org/abs/hep-th/9612063v1

Phys.Lett. B400 (1997) 157-162; Erratum-ibid. B416 (1998) 452

Physics

High Energy Physics

High Energy Physics - Theory

11 pages

Scientific paper

10.1016/S0370-2693(97)98052-7

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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