On the twisted G/H topological models

Abstract

The twisted G/H models are constructed as twisted supersymmetric gauged WZW models. We analyze the case of G = SU( N), H = SU( N 1) × … × SU( N n ) × U(1) r with rank(G) = rank(H), and discuss possible generalizations. We introduce a non-abelian bosonization of the (1, 0) ghost system in the adjoint of H and in G/H. By computing chiral anomalies in the latter picture we write the quantum action as a decoupled sum of “matter”, gauge and ghost sectors. The action is also derived in the unbosonized 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 corresponds to the topological G/G theory.