English

Courant algebroids from double field theory in supergeometry

High Energy Physics - Theory 2017-03-03 v1 Mathematical Physics math.MP Symplectic Geometry

Abstract

We provide a short review of Courant algebroids and graded symplectic manifolds and show how different Courant algebroids emerge from double field theory. Fluxes of double field theory and their Bianchi identities are formulated by using pre-QP-manifolds. We stress the relation of the Poisson Courant algebroid with R-flux as a solution of the double field theory section condition.

Keywords

Cite

@article{arxiv.1703.00638,
  title  = {Courant algebroids from double field theory in supergeometry},
  author = {Marc Andre Heller and Noriaki Ikeda and Satoshi Watamura},
  journal= {arXiv preprint arXiv:1703.00638},
  year   = {2017}
}

Comments

21 pages, Contribution to the series of "Noncommutative Geometry and Physics", Volume 4, World Scientific 2017