Frames for supersymmetry

TL;DR

This paper introduces 'frame shifts' and graphical Adinkra techniques to better understand and organize off-shell supersymmetry representations, enhancing the clarity of their reducibility and constraints.

Contribution

It presents a novel approach combining frame shifts with Adinkra diagrams to improve the organization of supersymmetry multiplets beyond traditional superspace methods.

Findings

Frame shifts clarify the reducibility of off-shell multiplets.

Graphical Adinkras visualize supersymmetry constraints effectively.

The method extends the organizational tools available for supersymmetry representations.

Abstract

We explain how the redefinitions of supermultiplet component fields, comprising what we call "frame shifts", can be used in conjuction with the graphical technology of multiplet Adkinras to render manifest the reducibility of off-shell representations of supersymmetry. This technology speaks to possibility of organizing multiplet constraints in a way which complements and extends the possibilities afforded by superspace methods.