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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Detalles Bibliográficos
Publicado: 2019
Materias:
Extended Supersymmetry
String Duality
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
Aporte de:
Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires
id paper:paper_11266708_v2019_n1_p_Cagnacci
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spelling paper:paper_11266708_v2019_n1_p_Cagnacci2023-06-08T16:09:01Z L ∞ algebras and tensor hierarchies in Exceptional Field Theory and Gauged Supergravity 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). 2019 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
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
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).
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
publishDate 2019
url 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
_version_ 1768541999954132992

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