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

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Cited by in corpus (7)

• Para-Hermitian Geometries for Poisson-Lie Symmetric $\sigma$-models
• Doubled Aspects of Vaisman Algebroid and Gauge Symmetry in Double Field Theory
• Deformed graded Poisson structures, Generalized Geometry and Supergravity
• Metric algebroid and Dirac generating operator in Double Field Theory
• Metric Algebroid and Poisson-Lie T-duality in DFT
• Towards an extended/higher correspondence -- Generalised geometry, bundle gerbes and global Double Field Theory
• The puzzle of global Double Field Theory: open problems and the case for a Higher Kaluza-Klein perspective