Gauged Knizhnik-Zamolodchikov Equation

G = H⊕M, [H,H] ⊂ H, [H,M] ⊂ M. (3) There are different methods of studying correlation functions of gaugedWZNWmodels such as the free field realization approach or the fermionization technik [2]. We shall pursue a different idea which is paralell to the analysis of the gravitational dressing of 2D field theories [3]. Our starting point are the equations of motion of the gauged WZNW model: ∇̄(∇gg) = 0, ∇gg|H = 0, (4) ∂̄A − ∂Ā + [A, Ā] = 0, where