March 3, 2026Open Access

The double copy of maximal supersymmetry in D = 10

Key Points

The double copy relations reveal how gauge theory interconnects with gravity through maximal supersymmetry.
Applying the homotopy algebra leads to the derivation of type IIA or IIB supergravity from super-Yang-Mills theory.
Observational analysis employs local and gauge redundant derivations for off-shell formulations.
Understanding these connections may shed light on unifying frameworks in theoretical physics.

Abstract

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.

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