Discrete torsion and WZW orbifolds

We propose a geometrical interpretation for the discrete torsion appearing in the algebraic formulation of quotients of WZW models by discrete Abelian subgroups. Part of the discrete torsion corresponds to the choice of action of the orbifold group, yielding different quotient spaces. Another part corresponds to the set of different choices of connection for the H field in each of these spaces. The former is for instance used to describe generalized lens spaces L(n,p)