Topological first-order vortices in a gauged CP(2) model

Abstract

We study time-independent radially symmetric first-order solitons in a CP(2) model interacting with an Abelian gauge field whose dynamics is controlled by the usual Maxwell term. In this sense, we develop a consistent first-order framework verifying the existence of a well-defined lower bound for the corresponding energy. We saturate such a lower bound by focusing on those solutions satisfying a particular set of coupled first-order differential equations. We solve these equations numerically using appropriate boundary conditions giving rise to regular structures possessing finite-energy. We also comment the main features these configurations exhibit. Moreover, we highlight that, despite the different solutions we consider for an auxiliary function $\beta \left(r\right)$ labeling the model (therefore splitting our investigation in two a priori distinct branches), all resulting scenarios engender the very same phenomenology, being physically equivalent.

7 pages, 3 figures

References in corpus (7)

• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• Maxwell-Chern-Simons vortices in a CPT-odd Lorentz-violating Higgs Electrodynamics
• Magnetic flux inversion in Charged BPS vortices in a Lorentz-violating Maxwell-Higgs framework
• Topological charged BPS vortices in Lorentz-violating Maxwell-Higgs electrodynamics
• Charged Nielsen-Olesen vortices from a Generalized Abelian Chern-Simons-Higgs Theory
• Nontopological self-dual Maxwell-Higgs vortices
• Self-dual solitons in a $CPT$-odd and Lorentz-violating gauged $O(3)$ sigma model

Cited by in corpus (4)

• Compact Chern-Simons vortices
• First-order solitons with internal structures in an extended Maxwell-$CP(2)$ 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