  By analytically continuing the string equations of the subcritical Type 0A
(2, 4|m|) minimal string theories, we reveal a whole new family of differential
and integro-differential equations associated with the naively supercritical
(2, -4|m|) theories. We uncover an elegant structure, associated with the
negative KdV hierarchy, that in principle yields the exact partition functions
of the models for all values of the string coupling. Furthermore, the physics
associated with the new equations displays many of the salient features
associated with the original subcritical models, plus other new phenomena that
are not present in those cases. One such phenomenon may have an interpretation
as a tachyon condensation process by which the theories can change their
dimensionalities.
