# On the Ubiquity Of Electromagnetic-Duality Rotations in 4D, N = 1 Holoraumy Tensors for On-Shell 4D Supermultiplets

## TL;DR

This paper explores the structure of holoraumy tensors in 4D, N=1 on-shell supersymmetric multiplets, revealing a universal electromagnetic duality rotation pattern in their transformations.

## Contribution

It is the first to analyze holoraumy in on-shell supersymmetry, showing a consistent electromagnetic duality rotation pattern across various 4D, N=1 multiplets.

## Key findings

- Holoraumy tensors exhibit electromagnetic duality rotation structure.
- On-shell supersymmetry holoraumy involves a π/2 duality rotation.
- Results suggest a universal duality pattern in on-shell multiplets.

## Abstract

Holoraumy is a tool being developed for dimensional enhancement (supersymmetry holography) where the goal is to build higher dimensional supersymmetric multiplets from lower dimensional supersymmetric multiplets. In this paper, for the first time we investigate holoraumy for on-shell supersymmetry. Specifically, the holoraumy tensors for a number of familiar 4D, $\mathcal{N}=1$ multiplets are calculated. It is shown in all of these cases of on-shell theories, the holoraumy is of the form of an electromagnetic duality charge multiplying a composite transformation involving an electromagnetic duality rotation through an angle of $\pi/2$ times a space time translation. The details of our calculations can be found at the HEPTHools Data Repository at https://hepthools.github.io/Data/.