First-order vortices in a gauged $CP(2)$ model with a Chern-Simons term

Abstract

We consider a gauged $CP(2)$ theory in the presence of the Chern-Simons action, focusing our attention on those time-independent solutions possessing radial symmetry. In this context, we develop a coherent first-order framework via the Bogomol'nyi prescription, from which we obtain the corresponding energy lower-bound and the first-order equations the model supports. We use these expressions to introduce effective BPS scenarios, solving the resulting first-order equations by means of the finite-difference scheme, this way attaining genuine field solutions engendering topological configurations. We depict the new profiles, commenting on the main properties they engender.

arXiv comment7 pages, 6 figures

References in corpus (21)

• k-Inflation
• Perturbations in k-inflation
• Tachyon Matter
• Purely kinetic k-essence as unified dark matter
• Supersymmetric Solitons and How They Help Us Understand Non-Abelian Gauge Theories
• Dynamics of $k$-essence
• Haloes of k-Essence
• Generalized self-dual Chern-Simons vortices
• BPS Solutions to a Generalized Maxwell-Higgs Model
• Maxwell-Chern-Simons vortices in a CPT-odd Lorentz-violating Higgs Electrodynamics
• Topological self-dual configurations in a Lorentz-violating gauged O(3) sigma model
• Neutrino statistics and big bang nucleosynthesis
• Magnetic flux inversion in Charged BPS vortices in a Lorentz-violating Maxwell-Higgs framework
• Topological vortices in generalized Born-Infeld-Higgs electrodynamics
• Topological charged BPS vortices in Lorentz-violating Maxwell-Higgs electrodynamics
• Topological first-order vortices in a gauged CP(2) model
• Charged Nielsen-Olesen vortices from a Generalized Abelian Chern-Simons-Higgs Theory
• Self-dual soliton solutions in a Chern-Simons-CP(1) model with a nonstandard kinetic term
• Nontopological self-dual Maxwell-Higgs vortices
• Self-dual solitons in a $CPT$-odd and Lorentz-violating gauged $O(3)$ sigma model
• Nontopological first-order vortices in a gauged $CP(2)$ model with a dielectric function

Cited by in corpus (6)

• Vortices and magnetic impurities
• First-order solitons with internal structures in an extended Maxwell-$CP(2)$ model
• SUSY Chern-Simons ${\mathbb{CP}}^N$ and baby Skyrme models and their BPS structures
• Topological first-order solitons in a gauged $CP(2)$ model with the Maxwell-Chern-Simons action
• Self-dual $CP(2)$ vortex-like solitons in the presence of magnetic impurities
• Nontopological first-order vortices in a gauged $CP(2)$ theory endowed with the Chern-Simons action