Nonlocal currents for supersymmetric nonlinear models

Abstract

Curvature-free covariant derivatives are given for the $\mathrm{O}\mathrm{}\left(N\right)\mathrm{}$ and $\mathrm{CP}\mathrm{}\left(N\right)\mathrm{}$ supersymmetric nonlinear models in two dimensions. The derivatives are used in a differential algorithm to explicitly construct sequences of nonlocal conserved currents. Properties of these currents and their charges are briefly discussed.