A bstract We continue the program of using homotopy algebras to obtain off-shell, local and gauge redundant derivations of the double copy relations between gauge theory and gravity. We apply it to N=1 super-Yang-Mills theory in D = 10 in order to obtain type IIA or type IIB supergravity, at least to cubic order in fields. Furthermore, we show how the super-Lie algebra of global supersymmetries, acting on the homotopy algebra of N=1 super-Yang-Mills theory, double copies to the maximal supersymmetry of supergravity.
Bonezzi et al. (Fri,) studied this question.