Group structure of hidden symmetry transformations for supersymmetric nonlinear sigma models

Abstract

The author investigates the group structure of the hidden symmetry transformations for classical two-dimensional supersymmetric generalized nonlinear sigma models. It is shown that the generators with positive and with negative index separately form infinite closed Lie algebras isomorphic to the algebra that is partially the Lie algebra of the subgroup G that leaves the initial data invariant and F(t) is the class of rational functions.