Ricci tensor in graded geometry
arXiv:2001.03382 · doi:10.1016/j.physletb.2020.135582
Abstract
We define the notion of the Ricci tensor for NQ symplectic manifolds of degree 2 and show that it corresponds to the standard generalized Ricci tensor on Courant algebroids. We use an appropriate notion of connections compatible with the generalized metric on the graded manifold.
6 pages, minor changes, added references, accepted manuscript version