Can epsilon '/epsilon be supersymmetric?

Supersymmetric contributions to epsilon(I)/epsilon have been generally rega rded as small. We point out, however, that this is based on specific assump tions, such as universal scalar mass, and in general need not be true. Base d on (1) hierarchical quark Yukawa matrices protected by flavor symmetry, ( 2) generic dependence of Yukawa matrices on Polonyi/moduli fields as expect ed in many supergravity/superstring theories, (3) Cabibbo rotation originat ing from the down-sector, and (4) phases of order unity, we find the typica l supersymmetric contribution to epsilon(I)/epsilon to be of order 3 x 10(- 3) for m((q) over bar) = 500 GeV, possibly dominating the reported KTeV Col laboration value epsilon(I)/epsilon = (28 +/- 4.1) X 10(-4). If so, the neu tron electric dipole moment is likely to be within the reach of the current ly planned experiments.