  Similarily as in the Ashtekar approach, the translational Chern-Simons term
is, as a generating function, instrumental for a chiral reformulation of simple
(N=1) supergravity. After applying the algebraic Cartan relation between spin
and torsion, the resulting canonical transformation induces not only
decomposition of the gravitational fields into selfdual and antiselfdual modes,
but also a splitting of the Rarita-Schwinger fields into their chiral parts in
a natural way. In some detail, we also analyze the consequences for axial and
chiral anomalies.
