  Recently, by studying exact flat directions of non-Abelian singlet fields, we
demonstrated the existence of free fermionic heterotic-string models in which
the SU(3)_C x SU(2)_L x U(1)_Y-charged matter spectrum, just below the string
scale, consists solely of the MSSM spectrum. In this paper we generalize the
analysis to include VEVs of non-Abelian fields. We find several,
MSSM-producing, exact non-Abelian flat directions, which are the first such
examples in the literature. We examine the possibility that hidden sector
condensates lift the flat directions.
