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

TL;DR

This paper derives the component Lagrangian for a generic N=1/2 supersymmetric chiral model in four dimensions and explores how a deformation parameter alters the potential, hinting at potential physical applications.

Contribution

It provides the first explicit derivation of the component Lagrangian for N=1/2 supersymmetric chiral models with arbitrary fields and analyzes the effects of deformation on the potential.

Findings

Deformation modifies the potential near the origin of field space.

The model suggests possible physical applications of the deformation.

Explicit component Lagrangian derived for the first time.

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.