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.
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Bessho, T., Heller, M.A., Ikeda, N. et al. Topological membranes, current algebras and H-flux-R-flux duality based on Courant algebroids. J. High Energ. Phys. 2016, 170 (2016). https://doi.org/10.1007/JHEP04(2016)170
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DOI: https://doi.org/10.1007/JHEP04(2016)170