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

Understand

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.