SUPERSYMMETRIC GAUGE-THEORIES WITH AN AFFINE QUANTUM MODULI SPACE

All supersymmetric gauge theories based on simple groups which have an affine quantum moduli space, i.e., one generated by gauge invariants with no relations, W = 0, and anomaly matching at the origin. are clas sified. It is shown that the only theories with no gauge invariants (i .e., moduli space equal to a single point) are the two known examples, SU(5) with (5) over bar + 10 and SO(10) with a spinor. The index of t he matter representation must be at least as big as the index of the a djoint in theories which have a nontrivial relation among the gauge in variants.