Chiral Models in Noncommutative N=1/2 Four Dimensional Superspace

Abstract

We derive the component Lagrangian for a generic N=1/2 supersymmetric chiral model with an arbitrary number of fields in four space-time dimensions. We then investigate a toy model in which the deformation parameter modifies the undeformed potential near the origin of the field space in a way which suggests possible physical applications.

Final version to appear in Physical Review D. We have added a new section in which we show that our component action can be resummed. The final answer takes a simple compact form. We also show how differences emerge for the modified Kaehler structure with respect to the ones found in the literature. We have also added two references