  Discrete R symmetries are interesting from a variety of points of view. They
raise the specter, however, of domain walls, which may be cosmologically
problematic. In this note, we describe some of the issues. In many schemes for
supersymmetry breaking, as we explain, satisfying familiar constraints such as
suppression of gravitino production, insures that the domain walls are readily
inflated away. However, in others, they form after inflation. In these cases,
it is necessary that they annihilate. We discuss possible breaking mechanisms
for the discrete symmetries, and the constraints they must satisfy so that the
walls annihilate effectively.
