  The (2 + 1)-dimensional gauge model describing two complex scalar fields that
interact through a common Abelian gauge field is considered. It is shown that
the model has a soliton solution that describes a system consisting of a vortex
and a Q-ball. This two-dimensional system is electrically neutral, nevertheless
it possesses a nonzero electric field. Moreover, the soliton system has a
quantized magnetic flux and a nonzero angular momentum. Properties of this
vortex-Q-ball system are investigated by analytical and numerical methods. It
is found that the system combines properties of topological and nontopological
solitons.

High Energy Physics - Theory