Recently, by studying exact Rat directions of non-Abelian singlet fields, w
e demonstrated the existence of free fermionic heterotic-string models in w
hich the SU(3)(C) x SU(2)(L) x U(1)(Y)-charged matter spectrum reduces to t
hat of the MSSM in the effective field theory. In this letter we generalize
the analysis to include vevs of non-Abelian fields. We find MSSM-producing
, exact non-Abelian Rat directions, which are the first such examples in th
e literature. We examine the possibility that hidden sector condensates lif
t the Rat directions.