Fractional non-topological quantization of the magnetic fluxes in the U(1) gauged planar Skyrme model

Abstract

We discuss a U(1) gauged version of the 2+1 dimensional planar Skyrme model supplemented by the Maxwell term. We show that there exist variety of static multi-soliton configurations coupled to the noninteger fluxes of magnetic field, which revert to the usual planar Skyrmions in the limit of the gauge coupling constant vanishing. The structure of the multisoliton solutions of the model strongly depends on the particular choice of the potential term which may break the rotational invariance. We investigate the dependency of the shapes, masses and magnetic fluxes of the gauged planar Skyrmions with broken symmetry on the gauge coupling constant. We further find that in the strong coupling limit the magnetic fluxes associated with the parton components of the solitons became quantized in fractional units of topological charge.