On the n=4 Supersymmetry for the FRW Model

TL;DR

This paper develops an n=4 extended local conformal time supersymmetry framework for FRW cosmological models using superfield methods, enabling a consistent inclusion of supermatter.

Contribution

It introduces a superfield construction for n=4 supersymmetric FRW models, extending previous work to include local conformal supersymmetry with internal symmetries.

Findings

Constructed an invariant superfield action for n=4 supersymmetric FRW models.

Demonstrated the action's form as a superconformal extension of supersymmetric quantum mechanics.

Provided a scheme for incorporating supermatter into cosmological models.

Abstract

In this work we have constructed the n=4 extended local conformal time supersymmetry for the Friedmann-Robertson-Walker (FRW) cosmological models. This is based on the superfield construction of the action, which is invariant under wordline local n=4 supersymmetry with $SU(2)_{local} \otimes SU(2)_{global}$ internal symmetry. It is shown that the supersymmetric action has the form of the localized (or superconformal) version of the action for n=4 supersymmetric quantum mechanics. This superfield procedure provides a well defined scheme for including supermatter.