Extended supersymmetry for the Bianchi-type cosmological models

TL;DR

This paper develops a superfield framework for Bianchi-type cosmological models, incorporating local $n=4$ supersymmetry and internal symmetries, leading to a systematic inclusion of supermatter.

Contribution

It introduces a superfield description for Bianchi cosmologies with $n=4$ supersymmetry, establishing a closed superalgebra and systematic supermatter inclusion.

Findings

Superfield formulation for Bianchi models established

Invariance under local $n=4$ supersymmetry demonstrated

Constraints form a closed superalgebra

Abstract

In this paper we propose a superfield description for all Bianchi-type cosmological models. The action is invariant under world-line local $n=4$ supersymmetry with $SU(2)_{local}XSU(2)_{global}$ internal symmetry. Due to the invariance of the action we obtain the constraints, which form a closed superalgebra of the $n=4$ supersymmetric quantum mechanics. This procedure provides the inclusion of supermatter in a sistematic way.