DFT in supermanifold formulation and group manifold as background geometry

Abstract

We develop the formulation of DFT on pre-QP-manifold. The consistency conditions like section condition and closure constraint are unified by a weak master equation. The Bianchi identities are also characterized by the pre-Bianchi identity. Then, the background metric and connections are formulated by using covariantized pre-QP-manifold. An application to the analysis of the DFT on group manifold is given.

52 pages, 2 tabels. Several references added

References in corpus (5)

• Double Field Theory
• Doubled Geometry and T-Folds
• The gauge algebra of double field theory and Courant brackets
• Gauged Double Field Theory
• Unified picture of non-geometric fluxes and T-duality in double field theory via graded symplectic manifolds