  Transitions between different topologically ordered phases have been studied
by artificially creating boundaries between these gapped phases and thus
studying their effects relating to condensation and tunneling of particles from
one phase to the other. In this work we introduce exactly solvable models which
are similar to the quantum double models (QDM) of Kitaev where such domain
walls are dynamically generated making them a part of the spectrum. These
systems have a local symmetry and may or may not have a global symmetry leading
to the possibility of a ground state degeneracy arising from both, global
symmetry breaking and a topological degeneracy. The domain wall states now
separate the different topologically ordered phases belonging to the different
sectors controlled by the global symmetry, when present. They have interesting
properties including fusion with the deconfined anyons of the topologically
ordered phase, to either create new domain walls, or their annihilation. They
can also act like a scatterer permuting anyons of the topologically ordered
phases on either side of the domain wall. Thus these domain wall states can be
thought of as a synthetic scatterer which can be created in any part of the
lattice. We show these effects for the simplest case of the $\mathbb{Z}_2$
toric code phase decorated with a global $\mathbb{Z}_2$ symmetry and then make
remarks about the case when we have the QDM based on two arbitrary groups $G_1$
and $G_2$ in which case we may no longer have a global symmetry.
