Higher Gauge Structures in Double and Exceptional Field Theory

Abstract

AbstractWe review the higher gauge symmetries in double and exceptional field theory from the viewpoint of an embedding tensor construction. This is based on a (typically infinite‐dimensional) Lie algebra and a choice of representation R. The embedding tensor is a map from the representation space R into satisfying a compatibility condition (‘quadratic constraint'). The Lie algebra structure on is transported to a Leibniz–Loday algebra on R, which in turn gives rise to an ‐structure. We review how the gauge structures of double and exceptional field theory fit into this framework.