DFT in supermanifold formulation and group manifold as background geometry

Understand

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.