L ∞ algebras and tensor hierarchies in Exceptional Field Theory and Gauged Supergravity

We show how the gauge and field structure of the tensor hierarchies in Double and E 7(7) Exceptional Field Theory fits into L ∞ algebras. Special attention is paid to redefinitions, the role of covariantly constrained fields and intertwiners. The results are connected to Gauged Supergravities throug...

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Publicado: 2019
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Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2019_n1_p_Cagnacci
http://hdl.handle.net/20.500.12110/paper_11266708_v2019_n1_p_Cagnacci
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Sumario:We show how the gauge and field structure of the tensor hierarchies in Double and E 7(7) Exceptional Field Theory fits into L ∞ 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. © 2019, The Author(s).