On the Question of Degeneracy of Topological Solitons in a Gauged O(3) Non-Linear Sigma Model with Chern-Simons Term

Abstract

We show that the degeneracy of topological solitons in the gauged O(3) non-linear sigma model with Chern-Simons term may be removed by chosing a self-interaction potential with symmetry - breaking minima. The topological solitons in the model has energy,charge,flux and angular momentum quantised in each topological sector.

8 page, Latex

References in corpus (3)

• 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
• Spin of Chern-Simons vortices

Cited by in corpus (12)

• Topological self-dual configurations in a Lorentz-violating gauged O(3) sigma model
• Self-Dual Cosmic Strings and Gravitating Vortices in Gauged Sigma Models
• BPS solitons with internal structure in the gauged $O(3)$ sigma model
• New class of solutions of a generalized $O(3)$-sigma Chern-Simons model
• Magnetic Vortices in a Gauged O(3) Sigma Model with Symmetry Breaking Self-Interaction
• Self-dual solitons in a $CPT$-odd and Lorentz-violating gauged $O(3)$ sigma model
• Self-dual effective compact and true compacton configurations in generalized Abelian Higgs models
• Nonminimal Maxwell-Chern-Simons-O(3)-sigma vortices: asymmetric potential case
• New class of solutions in the non-minimal O(3)-sigma model
• Topological first-order solitons in a gauged $CP(2)$ model with the Maxwell-Chern-Simons action
• Differential configurational complexity and phase transitions of the BPS solutions in the O(3)-sigma model
• Exact String-like Solutions of the Gauged Nonlinear O(3) Model