Topological Membranes, Current Algebras and H-flux - R-flux Duality based on Courant Algebroids

Abstract

We construct a topological sigma model and a current algebra based on a Courant algebroid structure on a Poisson manifold. In order to construct models, we reformulate the Poisson Courant algebroid by supergeometric construction on a QP-manifold. A new duality of Courant algebroids which transforms H-flux and R-flux is proposed, where the transformation is interpreted as a canonical transformation of a graded symplectic manifold.

51 pages, corrected version, added content

References in corpus (5)

• Double Field Theory
• AKSZ-BV Formalism and Courant Algebroid-induced Topological Field Theories
• Tangent Lifts of Poisson and Related Structures
• Poisson-Lie T-duality and Courant algebroids
• Topological T-duality via Lie algebroids and $Q$-flux in Poisson-generalized geometry

Cited by in corpus (6)

• Unified picture of non-geometric fluxes and T-duality in double field theory via graded symplectic manifolds
• The BV action of 3D twisted R-Poisson sigma models
• Contravariant Gravity on Poisson Manifolds and Einstein Gravity
• Higher Gauge Theories from Lie n-algebras and Off-Shell Covariantization
• Fluxes of Courant bracket twisted at the same time by $B$ and $\theta$
• Higher Courant-Dorfman algebras and associated higher Poisson vertex algebras