NON-ABELIAN DUALITY, PARAFERMIONS, AND SUPERSYMMETRY

Non-Abelian duality in relation to supersymmetry is examined. When the action of the isometry group on the complex structures is nontrivial, extended supersymmetry is realized nonlocally after duality, using pa th-ordered Wilson lines. Prototype examples considered in detail are, hyper-Kahler metrics with SO(3) isometry and supersymmetric WZW models . For the latter, the natural objects in the nonlocal realizations of supersymmetry arising after duality are the classical non-Abelian para fermions. The canonical equivalence of WZW models and their non-Abelia n duals with respect to a vector subgroup is also established.