English

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

High Energy Physics - Theory 2014-11-18 v1

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.

Keywords

Cite

@article{arxiv.hep-th/9612063,
  title  = {Self-Dual Chern-Simons Solitons and Generalized Heisenberg Ferromagnet Models},
  author = {Phillial Oh and Q-Han Park},
  journal= {arXiv preprint arXiv:hep-th/9612063},
  year   = {2014}
}

Comments

11 pages