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

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

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 ∞ algebras. Special attention is paid to redefinitions, the role of covariantly constrained fields and intertwiners. The results are connected to Gauged Supergraviti...

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Bibliographic Details
Main Authors: Yago Cagnacci, Tomas Codina, Diego Marques
Format: Article
Language:English
Published: SpringerOpen 2019-01-01
Series:Journal of High Energy Physics
Subjects:
Extended Supersymmetry
String Duality
Online Access:http://link.springer.com/article/10.1007/JHEP01(2019)117
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spelling doaj-f5f2b73d84444ac392d125aee1462bf12020-11-25T01:20:13ZengSpringerOpenJournal of High Energy Physics1029-84792019-01-012019117210.1007/JHEP01(2019)117L ∞ algebras and tensor hierarchies in Exceptional Field Theory and Gauged SupergravityYago Cagnacci0Tomas Codina1Diego Marques2Instituto de Astronomía y Física del Espacio (CONICET-UBA)Instituto de Astronomía y Física del Espacio (CONICET-UBA)Instituto de Astronomía y Física del Espacio (CONICET-UBA)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 ∞ 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.http://link.springer.com/article/10.1007/JHEP01(2019)117Extended SupersymmetryString Duality
collection DOAJ
language English
format Article
sources DOAJ
author Yago Cagnacci
Tomas Codina
Diego Marques
spellingShingle Yago Cagnacci
Tomas Codina
Diego Marques
L ∞ algebras and tensor hierarchies in Exceptional Field Theory and Gauged Supergravity
Journal of High Energy Physics
Extended Supersymmetry
String Duality
author_facet Yago Cagnacci
Tomas Codina
Diego Marques
author_sort Yago Cagnacci
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
publisher SpringerOpen
series Journal of High Energy Physics
issn 1029-8479
publishDate 2019-01-01
description 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 ∞ 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.
topic Extended Supersymmetry
String Duality
url http://link.springer.com/article/10.1007/JHEP01(2019)117
work_keys_str_mv AT yagocagnacci lalgebrasandtensorhierarchiesinexceptionalfieldtheoryandgaugedsupergravity
AT tomascodina lalgebrasandtensorhierarchiesinexceptionalfieldtheoryandgaugedsupergravity
AT diegomarques lalgebrasandtensorhierarchiesinexceptionalfieldtheoryandgaugedsupergravity
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