Topological first-order solitons in a gauged $CP(2)$ model with the Maxwell-Chern-Simons action

Abstract

We verify the existence of radially symmetric first-order solitons in a gauged $CP(2)$ scenario in which the dynamics of the Abelian gauge field is controlled by the Maxwell-Chern-Simons action. We implement the standard Bogomol'nyi-Prasad-Sommerfield (BPS) formalism, from which we obtain a well-defined lower bound for the corresponding energy (i.e. the Bogomol'nyi bound) and the first-order equations saturating it. We solve these first-order equations numerically by means of the finite-difference scheme, therefore obtaining regular solutions of the effective model, their energy being quantized according the winding number rotulating the final configurations, as expected. We depict the numerical solutions, whilst commenting on the main properties they engender.

arXiv comment8 pages, 9 figures

References in corpus (14)

• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• 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
• Anyonic Bogomol'nyi Solitons in a Gauged O(3) Sigma Model
• Topological self-dual configurations in a Lorentz-violating gauged O(3) sigma model
• Magnetic flux inversion in Charged BPS vortices in a Lorentz-violating Maxwell-Higgs framework
• A Note on Chern-Simons Solitons - a type III vortex from the wall vortex
• On the Question of Degeneracy of Topological Solitons in a Gauged O(3) Non-Linear Sigma Model with Chern-Simons Term
• Topological charged BPS vortices in Lorentz-violating Maxwell-Higgs electrodynamics
• Topological first-order vortices in a gauged CP(2) 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
• First-order vortices in a gauged $CP(2)$ model with a Chern-Simons term
• Nontopological first-order vortices in a gauged $CP(2)$ model with a dielectric function

Cited by in corpus (2)

• Nonminimal planar electrodynamics modified by higher-derivative terms
• Self-dual $CP(2)$ vortex-like solitons in the presence of magnetic impurities