Supersymmetric chiral bosons on group manifolds

The authors give the WZW models, for supersymmetric leftons and rightons. Super-Kac-Moody currents and the coupling to non-abelian, gauge superfields are derived. The locally supersymmetric theory is discussed. Due in part to the progress made in the compactification of superstrings, the study of U(1) chiral bosons has blossomed in the past year. Non-abelian chiral bosons have also been studied, although much less so than their abelian limits. Much work has also been done on the supersymmetric extensions of the U(1) theories. Studies of the supersymmetric, non-abelian theory are also present in the literature. In this letter, the authors present some of the results they have obtained for the supersymmetric theories. The authors' non-linear sigma model actions are presented. They also derive the self-duality constraint