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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Autores principales: Cagnacci, Y., Codina, T., Marques, D.
Formato: JOUR
Materias:
Extended Supersymmetry
String Duality
Acceso en línea:http://hdl.handle.net/20.500.12110/paper_11266708_v2019_n1_p_Cagnacci
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id todo:paper_11266708_v2019_n1_p_Cagnacci
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spelling todo:paper_11266708_v2019_n1_p_Cagnacci2023-10-03T16:07:46Z L ∞ algebras and tensor hierarchies in Exceptional Field Theory and Gauged Supergravity Cagnacci, Y. Codina, T. Marques, D. Extended Supersymmetry String Duality 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). JOUR info:eu-repo/semantics/openAccess http://creativecommons.org/licenses/by/2.5/ar http://hdl.handle.net/20.500.12110/paper_11266708_v2019_n1_p_Cagnacci
institution Universidad de Buenos Aires
institution_str I-28
repository_str R-134
collection Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic Extended Supersymmetry
String Duality
spellingShingle Extended Supersymmetry
String Duality
Cagnacci, Y.
Codina, T.
Marques, D.
L ∞ algebras and tensor hierarchies in Exceptional Field Theory and Gauged Supergravity
topic_facet Extended Supersymmetry
String Duality
description 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).
format JOUR
author Cagnacci, Y.
Codina, T.
Marques, D.
author_facet Cagnacci, Y.
Codina, T.
Marques, D.
author_sort Cagnacci, Y.
title L ∞ algebras and tensor hierarchies in Exceptional Field Theory and Gauged Supergravity
title_short L ∞ algebras and tensor hierarchies in Exceptional Field Theory and Gauged Supergravity
title_full L ∞ algebras and tensor hierarchies in Exceptional Field Theory and Gauged Supergravity
title_fullStr L ∞ algebras and tensor hierarchies in Exceptional Field Theory and Gauged Supergravity
title_full_unstemmed L ∞ algebras and tensor hierarchies in Exceptional Field Theory and Gauged Supergravity
title_sort l ∞ algebras and tensor hierarchies in exceptional field theory and gauged supergravity
url http://hdl.handle.net/20.500.12110/paper_11266708_v2019_n1_p_Cagnacci
work_keys_str_mv AT cagnacciy lalgebrasandtensorhierarchiesinexceptionalfieldtheoryandgaugedsupergravity
AT codinat lalgebrasandtensorhierarchiesinexceptionalfieldtheoryandgaugedsupergravity
AT marquesd lalgebrasandtensorhierarchiesinexceptionalfieldtheoryandgaugedsupergravity
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