  We investigate non-trivial topological structures in Discrete Light Cone
Quantization (DLCQ) through the example of the broken symmetry phase of the two
dimensional $\phi^4$ theory using anti periodic boundary condition (APBC). We
present evidence for degenerate ground states which is both a signature of
spontaneous symmetry breaking and mandatory for the existence of kinks. Guided
by a constrained variational calculation with a coherent state ansatz, we then
extract the vacuum energy and kink mass and compare with classical and semi -
classical results. We compare the DLCQ results for the number density of bosons
in the kink state and the Fourier transform of the form factor of the kink with
corresponding observables in the coherent variational kink state.
