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$L_\infty$ algebras and Tensor Hierarchies in Exceptional Field Theory and Gauged Supergravity (1807.06028v2)
Published 16 Jul 2018 in hep-th, math-ph, and math.MP
Abstract: 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 redefinitions, the role of covariantly constrained fields and intertwiners. The results are connected to Gauged Supergravities through generalized Scherk-Schwarz reductions. We find that certain gauging-dependent parameters generate trivial gauge transformations, giving rise to novel symmetries for symmetries that are absent in their ungauged counterparts.