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In the present investigation we consider the possibility of having newmassive, higher spin W-supergravity theories, which do not exist asfour-dimensional perturbative models. These theories are based on a double copyconstruction of two supersymmetric field theories, where at least one factor isgiven by a N=3 field theory, which is a non-perturbative S-fold of N=4 superYang-Mills theory. In this way, we can obtain as S-folds a new N=7(corresponding to 28 supercharges) W-supergravity and its N=7 W-superstringcounterpart, which both do not exist as four-dimensional perturbative modelswith an (effective) Langrangian description. The resulting field resp. stringtheory does not contain any massless states, but instead a massive higherspin-four supermultiplet of the N=7 supersymmetry algebra. Furthermore we alsoconstruct a four-dimensional heterotic S-fold with N=3 supersymmetry. It againdoes not exist as perturbative heterotic string model and can be considered asthe heterotic counterpart of the N=3 superconformal field theories, which werepreviously constructed in the context of type I orientfold models.

Spin-four N=7 W-Supergravity: S-fold and Double Copy Construction