ON THE TWISTED G H TOPOLOGICAL MODELS

The twisted G/H models are constructed as twisted supersymmetric gauge d WZW models. We analyze the case of G = SU(N), H = SU(N1) X ... X SU( N(n)) X U(1)r with rank(G) = rank(H), and discuss possible generalizat ions. We introduce a non-abelian bosonization of the (1, 0) ghost syst em in the adjoint of H and in G/H. By computing chiral anomalies in th e latter picture we write the quantum action as a decoupled sum of ''m atter'', gauge and ghost sectors. The action is also derived in the un bosonized version. We invoke a free field parametrization and extract the space of physical states by computing the cohomology of Q, the sum of the BRST gauge-fixing charge and the twisted supersymmetry charge. For a given G we briefly discuss the relation between the various G/H models corresponding to different choices of H. The choice H = G corr esponds to the topological G/G theory.