United Nations Educational Scientific and Cultural Organization and International Atomic Energy Agency THE ABDUS SALAM INTERNATIONAL CENTRE FOR THEORETICAL PHYSICS

Section of High Energy Physics, H. E. P. L, University Mohammed V,Scientific Faculty, Rabat, Morocco**and The Abdus Salam International Centre for Theoretical Physics, Trieste, Italy.Abstract The description of the two sets of (4,0) supersymmetric models that are related by non-abelian duality transformations is given. The (4,0) supersymmetric W ZNW is constructed andthe formulation of the (4,0) supersymmetric sigma model dual to (4,0) supersymmetricW ZNW model in the sense of Poisson-Lie T-duality is described.