First-order solitons with internal structures in an extended Maxwell-$CP(2)$ model

Abstract

We study a Maxwell-$CP(2)$ model coupled to a real scalar field through a dielectric function multiplying the Maxwell term. In such a context, we look for first-order rotationally symmetric solitons by means of the Bogomol'nyi algorithm, i.e. by minimizing the total energy of the effective model. We perform our investigation by choosing an explicit form of the dielectric function. The numerical solutions show regular vortices whose shapes dramatically differ from their canonical counterparts. We can understood such differences as characterizing the existence of an internal structure.

arXiv comment10 pages, 8 figures

References in corpus (12)

• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• New Global Defect Structures
• Simple Models with Non-Abelian Moduli on Topological Defects
• Bogomol'nyi Equations of Maxwell-Chern-Simons vortices from a generalized Abelian Higgs Model
• Maxwell-Higgs vortices with internal structure
• Topological strength of magnetic skyrmions
• Topological Excitations in Magnetic Materials
• Low energy dynamics of $U(1)$ vortices in systems with cholesteric vacuum structure
• Dirac field in the background of a planar defect
• Topological first-order vortices in a gauged CP(2) 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

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• Generalized Maxwell-Higgs vortices in models with enhanced symmetry
• Self-dual $CP(2)$ vortex-like solitons in the presence of magnetic impurities
• Self-dual compact gauged baby skyrmions in a continuous medium