  We introduce a class of (0,2) superconformal field theories based on hybrid
geometries, generalizing various known constructions. We develop techniques for
the computation of the complete massless spectrum when the theory can be
interpreted as determining a perturbative heterotic string compactification. We
provide evidence for surprising properties regarding RG flows and IR accidental
symmetries in (0,2) hybrid CFTs. We also study the conditions for embedding a
hybrid theory in a particular class of gauged linear sigma models. This
perspective suggests that our construction generates models which cannot be
realized or analyzed by previously known methods.
