Spin Holography via Dimensional Enhancement

TL;DR

This paper introduces a method to decode higher-dimensional supersymmetry spin information from one-dimensional shadows, enabling the identification of spin representations within supermultiplets.

Contribution

It provides a systematic approach to determine whether one-dimensional supermultiplets can form higher-dimensional spin representations and how to explicitly identify those representations.

Findings

All ambient component field spin assignments are encoded in shadows.

Method to check if supermultiplet components form $ ext{Spin}(1,D-1)$ representations.

Procedure to explicitly determine higher-dimensional spin representations.

Abstract

We explain how all information about ambient component field spin assignments in higher-dimensional off-shell supersymmetry is accessibly coded in one-dimensional restrictions, known as shadows. We also explain how to determine whether the components of a given one-dimensional supermultiplet may assemble into representations of $\spin(1,D-1)$ and, if so, how to specifically determine those representations.