On Curvature and Torsion in Courant Algebroids
Differential Geometry
2021-02-04 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
We study the graded geometric point of view of curvature and torsion of Q-manifolds (differential graded manifolds). In particular, we get a natural graded geometric definition of Courant algebroid curvature and torsion, which correctly restrict to Dirac structures. Depending on an auxiliary affine connection K, we introduce the K-curvature and K-torsion of a Courant algebroid connection. These are conventional tensors on the body. Finally, we compute their Ricci and scalar curvature.
Keywords
Cite
@article{arxiv.1910.11273,
title = {On Curvature and Torsion in Courant Algebroids},
author = {Paolo Aschieri and Francesco Bonechi and Andreas Deser},
journal= {arXiv preprint arXiv:1910.11273},
year = {2021}
}
Comments
28 pages, minor corrections