The gauge structure of Exceptional Field Theories and the tensor hierarchy

Gerardo Aldazabal (1, 2) , Mariana Graña (3) , Diego Marqués (4) , José A. Rosabal (4, 1)

1 Centro Atómico Bariloche [Argentine]
2 Instituto Balseiro [Bariloche]
3 IPHT - Institut de Physique Théorique - UMR CNRS 3681
4 UBA - Universidad de Buenos Aires [Buenos Aires]

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.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

Gerardo Aldazabal, Mariana Graña, Diego Marqués, José A. Rosabal. The gauge structure of Exceptional Field Theories and the tensor hierarchy. Journal of High Energy Physics, 2014, 2014, pp.049. ⟨10.1007/JHEP04(2014)049⟩. ⟨cea-01295486⟩