Supergroup - extended super Liouville correspondence

We derive a relation between correlation functions of supergroup WZNW models and conformal field theories with extended superconformal symmetry. The supergroups considered have a bosonic subgroup of the form SL(2) x A for some Lie group A. The corresponding conformal field theory is a super Liouville field theory coupled with the WZNW model on A. An example is a correspondence between the PSU(1,1 vertical bar 2) WZNW model and small N = 4 super Liouville field theory. The OSP(n vertical bar 2) WZNW model is related to a superconformal field theory with SO(n) extended superconformal symmetry of the Knizhnik-Bershadsky type. In the case n = 4 this is simply the large N = (4, 4) superconformal symmetry. Besides these two examples we make a general derivation encompassing the WZNW models on supergroups SL(2 vertical bar n), D(2,1;alpha), OSP(4 vertical bar 2n), F(4) and G(3) and their relation to models with extended superconformal algebras as symmetry.