Vortices of $SO(2)$ gauged Skyrmions in $2+1$ dimensions

Abstract

Vortices the $SO(2)$ gauged planar Skyrme model, with a) only Maxwell, b) only Chern-Simons, and c) both Maxwell and Chern-Simons dynamics are studied systematically. In cases a) and b), where both models feature a single parameter $\lambda$ (the coupling of the potential term), the dependence of the energy on $\lambda$ is analysed. It is shown that the plots of the energy $vs.$ $\lambda$ feature discontinuities and branches. In case c), the emphasis is on the evolution of the topological charge, taking non-integer values. Throughout, the properties studied are contrasted with those of the corresponding Abelian Higgs models.

28 pages, 12 figures

References in corpus (5)

• Nielsen-Olesen vortices for large Ginzburg-Landau parameter
• Gauged Baby Skyrme Model with Chern-Simons term
• The effect of Chern-Simons dynamics on the energy of electrically charged and spinning vortices
• On the topological charge of $SO(2)$ gauged Skyrmions in $2+1$ and $3+1$ dimensions
• Gauged merons

Cited by in corpus (7)

• On the topological charge of $SO(2)$ gauged Skyrmions in $2+1$ and $3+1$ dimensions
• Compact, charged boson-stars, -shells in the $\mathbb{C}{P}^N$ gravitating nonlinear sigma model
• Solitons in the Gauged Skyrme-Maxwell Model
• Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model
• Some aspects of Skyrme--Chern-Simons densities
• On the effects of the Chern-Simons term in an Abelian gauged Skyrme model in $d=4+1$ dimensions
• $SO(2)$ gauged Skyrmions in $4+1$ dimensions