gauged wzw models based on supermanifolds

In superdimension (2 | 2) there are only three non-abelian lie superalgebras gl(1|1), (c^3+a) and (c_0^5+a) admitting ad-invariant supersymmetric and non-degenerate bilinear form. we present here wess-zumino-witten (wzw) models based on the lie supergroups gl(1|1), (c^3+a). then, we proceed to construct the wzw model over the (c_0^5+a) lie supergroup. we examine in details the (c^3+a) case and, by gauging an appropriate abelian subgroup, string background of superdimension (1 | 2) is obtained.