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

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.

11 pages

References in corpus (6)

• Anyonic Bogomol'nyi Solitons in a Gauged O(3) Sigma Model
• The Spectrum of Bogomol'nyi Solitons in Gauged Linear Sigma Models
• More on Generalized Heisenberg Ferromagnet Models
• The self-dual Chern-Simons $CP(N)$ models
• Coherent State Quantization of SU(N) Non-Abelian Chern-Simons Particles
• Exact Self-dual Soliton Solutions in a Gauged O(3) Sigma Model with Anomalous Magnetic Moment Interaction

Cited by in corpus (8)

• Supersymmetric Chern-Simons Vortex Systems and Extended Supersymmetric Quantum Mechanics Algebras
• Higher Derivative CP(N) Model and Quantization of the Induced Chern-Simons Term
• Bogomol'nyi Solitons and Hermitian Symmetric Spaces
• Self-dual Chern-Simons Solitons in the Planar Ferromagnet
• Large N Limit of Higher Derivative Extended CP(N) Model
• Duality and Enhanced Gauge Symmetry in 2+1 Dimensions
• On the Gauged Non-compact Spin System
• Extended Supersymmetries and 2+1 Dimensional Supersymmetric Chern Simons Theories