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

TL;DR

This paper develops a topological sigma model and current algebra framework based on Courant algebroids, introducing a novel duality that exchanges H-flux and R-flux via a canonical transformation.

Contribution

It introduces a supergeometric reformulation of Poisson Courant algebroids and proposes a new duality transforming H-flux into R-flux within this geometric setting.

Findings

Constructed a topological sigma model from Courant algebroids.

Established a duality exchanging H-flux and R-flux.

Interpreted the flux transformation as a canonical transformation on a graded symplectic manifold.

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.