Generalized supersymmetry and sigma models

Understand

In this paper, we discuss the generalizations of exact supersymmetries present in the supersymmetrized sigma models.

• These generalizations are made by making the supersymmetric transformation parameter field-dependent.
• Remarkably, the supersymmetric effective actions emerge naturally through the Jacobian associated with the generalized supersymmetry transformations.
• We explicitly demonstrate these for two different supersymmetric sigma models, namely, one dimensional sigma model and topological sigma model for hyperinstantons on quaternionic manifold.