Using a formulation of QCD(2) as a perturbed conformally invariant the
ory involving fermions, ghosts, as well as positive and negative level
Wess-Zumino-Witten fields, we show that the BRST conditions become re
strictions on the conformally invariant sector, as described by a G/G
topological theory. By solving the corresponding cohomology problem we
are led to a finite set of vacua. For G = SU(2) these vacua are two-f
old degenerate.