On the ubiquity of electromagnetic-duality rotations in 4D, 𝒩 = 1 holoraumy tensors for on-shell 4D supermultiplets

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, [Formula: see text] 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 [Formula: see text] times a space–time translation. The details of our calculations can be found at the HEPTHools Data Repository .