Exact Self-dual Soliton Solutions in a Gauged O(3) Sigma Model with Anomalous Magnetic Moment Interaction

Abstract

It is shown that a gauged nonlinear $O(3)$ sigma model with anomalous magnetic moment interaction in $2+1$ dimensions is exactly integrable for static, self-dual field configurations. The matter fields are exactly equivalent to those of the usual ungauged nonlinear $O(3)$ sigma model. These static soliton solutions can be mapped into an Abelian purely magnetic vortex solutions through a suitable reduction of the non-Abelian gauge group. A relativistic Abelian model in $2+1$ dimensions is also presented where these purely magnetic vortices can be realized.

A discussion on $C{P}^N$ case has been made. New references have been added. To appear in Physics Letters B. RevTeX, 13 pages, no figure

References in corpus (8)

• Dynamics of Baby Skyrmions
• Bogomol'nyi solitons in a gauged $O(3)$ sigma model
• Topological and Nontopological Solitons in a Gauged O(3) Sigma Model with Chern-Simons term
• Skyrme-Maxwell Solitons in (2+1) Dimensions
• Bogomol'nyi Equations of Maxwell-Chern-Simons vortices from a generalized Abelian Higgs Model
• SELF-DUAL NON-ABELIAN VORTICES IN A $\PHI^2$ CHERN-SIMONS THEORY
• Degenerate Topological Vortex solutions from a generalized Abelian Higgs Model with a Chern-Simons term
• $B\wedge F$ Term by Spontaneous Symmetry Breaking in a generalized Abelian Higgs Model

Cited by in corpus (6)

• Vortices in a nonminimal Maxwell-Chern-Simons O(3) Sigma Model
• Self-Dual Chern-Simons Solitons and Generalized Heisenberg Ferromagnet Models
• Magnetic Vortices in a Gauged O(3) Sigma Model with Symmetry Breaking Self-Interaction
• New class of solutions in the non-minimal O(3)-sigma model
• Supersymmetric Gauged $O(3)$ Sigma Model and Self-dual Born-Infeld Theory
• Solitons in 1+1 Dimensional Gauged Sigma Models