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

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, 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 π/2 times a space–time translation. The details of our calculations can be found at the HEPTHools Data Repository.