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...

Descripción completa

Guardado en:
Detalles Bibliográficos
Publicado: 2014
Materias:
Flux compactifications
M-Theory
String Duality
Acceso en línea:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2014_n4_p_Aldazabal
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 paper:paper_11266708_v2014_n4_p_Aldazabal
record_format dspace
spelling paper:paper_11266708_v2014_n4_p_Aldazabal2023-06-08T16:08:31Z The gauge structure of exceptional field theories and the tensor hierarchy 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). 2014 https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2014_n4_p_Aldazabal 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
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).
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
publishDate 2014
url https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_11266708_v2014_n4_p_Aldazabal
http://hdl.handle.net/20.500.12110/paper_11266708_v2014_n4_p_Aldazabal
_version_ 1768545750670639104

Ejemplares similares