$L_{\infty }$ algebras and Tensor Hierarchies in Exceptional Field Theory and Gauged Supergravity

Yago Cagnacci, Tomas Codina, Diego Marques

We show how the gauge and field structure of the tensor hierarchies in Double and $E_{7(7)}$ Exceptional Field Theory fits into $L_{\infty }$ algebras. Special attention is paid to re…