Flux Formulation of DFT on Group Manifolds and Generalized Scherk-Schwarz Compactifications

Understand

A flux formulation of Double Field Theory on group manifold is derived and applied to study generalized Scherk-Schwarz compactifications, which give rise to a bosonic subsector of half-maximal, electrically gauged supergravities.

• In contrast to the flux formulation of original DFT, the covariant fluxes split into a fluctuation and a background part.
• The latter is connected to a $2D$-dimensional, pseudo Riemannian manifold, which is isomorphic to a Lie group embedded into O($D,D$).
• All fields and parameters of generalized diffeomorphisms are supported on this manifold, whose metric is spanned by the background vielbein $E_A{}^I \in$ GL($2D$).