SUPERSYMMETRIC CHIRAL BOSON WITH LINEARLY REALIZED SELF-DUALITY CONDITION

Two supersymmetric versions for the theory of a chiral boson with line arly realized self-duality condition are proposed. In both cases the s ector of physical states after canonical quantization contains only mo des propagating to the left. The first version describes a chiral boso n and its superpartner; the second does not contain nontrivial Fermi d egrees of freedom. Both actions are rewritten in a locally supersymmet ric form by introducing an interaction with (1, 0) supergravity in the superfield and component forms.