  We first review the spontaneous Lorentz symmetry breaking in the presence of
massless gauge fields and infraparticles. This result was obtained long time
ago in the context of rigorious quantum field theory by Frohlich et. al. and
reformulated by Balachandran and Vaidya using the notion of superselection
sectors and direction-dependent test functions at spatial infinity for the
non-local observables. Inspired by these developments and under the assumption
that the spectrum of the electric charge is quantized, (in units of a
fundamental charge e) we construct a family of vertex operators which create
winding number k, electrically charged Abelian vortices from the vacuum (zero
winding number sector) and/or shift the winding number by k units. In
particular, we find that for rotating vortices the vertex operator at level k
shifts the angular momentum of the vortex by k \frac{{\tilde q}}{q}, where
\tilde q is the electric charge of the quantum state of the vortex and q is the
charge of the vortex scalar field under the U(1) gauge field. We also show
that, for charged-particle-vortex composites angular momentum eigenvalues shift
by k \frac{{\tilde q}}{q}, {\tilde q} being the electric charge of the
charged-particle-vortex composite. This leads to the result that for
\frac{{\tilde q}}{q} half-odd integral and for odd k our vertex operators flip
the statistics of charged-particle-vortex composites from bosons to fermions
and vice versa. For fractional values of \frac{{\tilde q}}{q}, application of
vertex operator on charged-particle-vortex composite leads in general to
composites with anyonic statistics.
