  We study the pseudoduality transformation in supersymmetric sigma models. We
generalize the classical construction of pseudoduality transformation to
supersymmetric case. We perform this both by component expansion method on
manifold M and by orthonormal coframe method on manifold SO(M). The component
expansion method yields the result that pseudoduality tranformation is not
invertible at all points and occurs from all points on one manifold to only one
point where riemann normal coordinates are valid on the second manifold.
Torsion of the sigma model on M must vanish while it is nonvanishing on
pseudodual manifold, and curvatures of the manifolds must be constant and the
same. In case of super WZW sigma models pseudoduality equations result in three
different pseudoduality conditions; flat space, chiral and antichiral
pseudoduality.
