Action for “generalized” superstring with torsion

The action is formulated for the $N=1$ locally supersymmetric nonlinear two-dimensional sigma model with torsion. This action can be regarded either as the classical action for a Fermi string propagating in a curved space-time with torsion or as the effective action for massless excitations of a superstring corresponding to the metric and an antisymmetric tensor in the Neveu–Schwarz–Ramond model.