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arXiv · 1807.06028

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

Yago Cagnacci·Tomas Codina·Diego Marques
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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.

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Yago Cagnacci, Tomas Codina, Diego Marques. 2018-07-16. $L_\infty$ algebras and Tensor Hierarchies in Exceptional Field Theory and Gauged Supergravity. https://doi.org/10.1007/jhep01(2019)117

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