  We discuss a possible link between the recently observed macroscopic ordering
of ultra cold dipolar excitons (MOES) and the phenomenon of supersolidity. In
the dilute limit we predict a stable supersolid state for a
quasi-one-dimensional system of bosonic dipoles characterized by two- and
three-body contact repulsion. We phenomenologically extend our theory to the
strongly-correlated regime and find a critical value of the contact interaction
parameter at which the supersolid exhibits a quantum phase transition to a
fragmented state. The wavelength of the fragmented-condensate solid is defined
by the balance between the quantum pressure and the entropy due to fluctuations
of the relative phases between the fragments. Our model appears to be in good
agreement with the relevant experimental data, including the very recent
results on commensurability effect and wavelength of the MOES.
