The gauge structure of exceptional field theories and the tensor hierarchy

We address the construction of manifest U-duality invariant generalized diffeomorphisms. The closure of the algebra requires an extension of the tangent space to include a tensor hierarchy indicating the existence of an underlying unifying structure, compatible with E 11 and Borcherds algebras const...

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Detalles Bibliográficos
Autores principales:	Aldazabal, G., Graña, M., Marqués, D., Rosabal, J.A.
Formato:	JOUR
Materias:	Flux compactifications M-Theory String Duality
Acceso en línea:	http://hdl.handle.net/20.500.12110/paper_11266708_v2014_n4_p_Aldazabal
Aporte de:	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA) de Universidad de Buenos Aires

id	todo:paper_11266708_v2014_n4_p_Aldazabal
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spelling	todo:paper_11266708_v2014_n4_p_Aldazabal2023-10-03T16:07:09Z The gauge structure of exceptional field theories and the tensor hierarchy Aldazabal, G. Graña, M. Marqués, D. Rosabal, J.A. Flux compactifications M-Theory String Duality We address the construction of manifest U-duality invariant generalized diffeomorphisms. The closure of the algebra requires an extension of the tangent space to include a tensor hierarchy indicating the existence of an underlying unifying structure, compatible with E 11 and Borcherds algebras constructions. We begin with four-dimensional gauged maximal supergravity, and build a generalized Lie derivative that encodes all the gauge transformations of the theory. A generalized frame is introduced, which accommodates for all the degrees of freedom, including the tensor hierarchy. The generalized Lie derivative defines generalized field-dependent fluxes containing all the covariant quantities in the theory, and the closure conditions give rise to their corresponding Bianchi Identities. We then move towards the construction of a full generalized Lie derivative defined on an extended space, analyze the closure conditions, and explore the connection with that of maximal gauged supergravity via a generalized Scherk-Schwarz reduction, and with 11-dimensional supergravity. © 2014 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_v2014_n4_p_Aldazabal
institution	Universidad de Buenos Aires
institution_str	I-28
repository_str	R-134
collection	Biblioteca Digital - Facultad de Ciencias Exactas y Naturales (UBA)
topic	Flux compactifications M-Theory String Duality
spellingShingle	Flux compactifications M-Theory String Duality Aldazabal, G. Graña, M. Marqués, D. Rosabal, J.A. The gauge structure of exceptional field theories and the tensor hierarchy
topic_facet	Flux compactifications M-Theory String Duality
description	We address the construction of manifest U-duality invariant generalized diffeomorphisms. The closure of the algebra requires an extension of the tangent space to include a tensor hierarchy indicating the existence of an underlying unifying structure, compatible with E 11 and Borcherds algebras constructions. We begin with four-dimensional gauged maximal supergravity, and build a generalized Lie derivative that encodes all the gauge transformations of the theory. A generalized frame is introduced, which accommodates for all the degrees of freedom, including the tensor hierarchy. The generalized Lie derivative defines generalized field-dependent fluxes containing all the covariant quantities in the theory, and the closure conditions give rise to their corresponding Bianchi Identities. We then move towards the construction of a full generalized Lie derivative defined on an extended space, analyze the closure conditions, and explore the connection with that of maximal gauged supergravity via a generalized Scherk-Schwarz reduction, and with 11-dimensional supergravity. © 2014 The Author(s).
format	JOUR
author	Aldazabal, G. Graña, M. Marqués, D. Rosabal, J.A.
author_facet	Aldazabal, G. Graña, M. Marqués, D. Rosabal, J.A.
author_sort	Aldazabal, G.
title	The gauge structure of exceptional field theories and the tensor hierarchy
title_short	The gauge structure of exceptional field theories and the tensor hierarchy
title_full	The gauge structure of exceptional field theories and the tensor hierarchy
title_fullStr	The gauge structure of exceptional field theories and the tensor hierarchy
title_full_unstemmed	The gauge structure of exceptional field theories and the tensor hierarchy
title_sort	gauge structure of exceptional field theories and the tensor hierarchy
url	http://hdl.handle.net/20.500.12110/paper_11266708_v2014_n4_p_Aldazabal
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The gauge structure of exceptional field theories and the tensor hierarchy

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