Artículos de revistas
The gauge structure of Exceptional Field Theories and the tensor hierarchy
Fecha
2014-04-07Registro en:
Aldazabal, Gerardo Marcelo; Graña, M.; Marques, Diego; Rosabal Rodriguez, Jose Alejandro; The gauge structure of Exceptional Field Theories and the tensor hierarchy; Springer; Journal Of High Energy Physics; 49; 4; 7-4-2014; 1-38
1126-6708
Autor
Aldazabal, Gerardo Marcelo
Graña, M.
Marques, Diego
Rosabal Rodriguez, Jose Alejandro
Resumen
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 E11 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.