A. Wiedemann et Hjw. Mullerkirsten, EXPLICIT CONSTRUCTION OF SUPERCHARGES OF SUPERSYMMETRIC NONLINEAR SIGMA-MODELS IN 1+1 SPACETIME DIMENSIONS, Fortschritte der Physik, 41(5), 1993, pp. 447-460
Considering the N = 1 supersymmetry transformations of supersymmetric
nonlinear sigma models in 1 + 1 dimensions we construct explicitly con
served Noether currents associated with supersymmetry transformations
and derive the associated conserved charges in terms of the basic fiel
ds. We compare this result with superspace calculations. Finally we re
view the connection between extended supersymmetry and the geometry of
the target space and derive an explicit form of the supercharges for
extended supersymmetry.