Gauged merons

Abstract

We construct new class of regular soliton solutions of the gauged planar Skyrme model on the target space $S^2$ with fractional topological charges in the scalar sector. These field configurations represent Skyrmed vortices, they have finite energy and carry topologically quantized magnetic flux $\Phi =2\pi n$ where $n$ is an integer. Using a special version of the product ansatz as guide, we obtain by numerical relaxation various multimeron solutions and investigate the pattern of interaction between the fractionally charged solitons. We show that, unlike the vortices in the Abelian Higgs model, the gauged merons may combine short range repulsion and long range attraction. Considering the strong gauge coupling limit we demonstrate that the topological quantization of the magnetic flux is determined by the Poincaré index of the planar components ${\varphi }_{\perp }={\varphi }_1+i{\varphi }_2$ of the Skyrme field.

5 pages, 4 figures

References in corpus (7)

• Skyrmion fractionalization and merons in chiral magnets with easy-plane anisotropy
• Diversity of knot solitons in liquid crystals manifested by linking of preimages in torons and hopfions
• Gauged Baby Skyrme Model with Chern-Simons term
• Aloof Baby Skyrmions
• The effect of Chern-Simons dynamics on the energy of electrically charged and spinning vortices
• Gauged BPS baby Skyrmions with quantised magnetic flux
• Gauged Hopfions

Cited by in corpus (6)

• Relations among topological solitons
• Vortices of $SO(2)$ gauged Skyrmions in $2+1$ dimensions
• Fractional solitons in non-Euclidian elastic plates
• Self-dual solitons in a Maxwell-Chern-Simons baby Skyrme model
• Magnetic Hopfions in the Faddeev-Skyrme-Maxwell model
• Gravitating gauged BPS baby Skyrmions