@article{7eb80c1d8e75494f97ddf64aaa6975b5,
title = "Ricci tensor in graded geometry",
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.",
keywords = "Courant algebroids, NQ manifolds, Ricci tensor",
author = "Fridrich Valach",
note = "Funding Information: This work was supported by the GA{\v C}R Grant EXPRO 19-28628X. The author would like to thank Andreas Deser and Pavol {\v S}evera for helpful discussions, suggestions, and comments on the preliminary version of the paper. The author would also like to acknowledge the COST action MP 1405 Quantum structure of spacetime and the Corfu Summer Institute 2019 at EISA, where the main idea of the paper was conceived. Funding Information: This work was supported by the GA{\v C}R Grant EXPRO 19-28628X . The author would like to thank Andreas Deser and Pavol {\v S}evera for helpful discussions, suggestions, and comments on the preliminary version of the paper. The author would also like to acknowledge the COST action MP 1405 Quantum structure of spacetime and the Corfu Summer Institute 2019 at EISA, where the main idea of the paper was conceived. Publisher Copyright: {\textcopyright} 2020 The Author(s)",
year = "2020",
month = aug,
day = "10",
doi = "10.1016/j.physletb.2020.135582",
language = "English",
volume = "807",
journal = "Physics Letters, Section B: Nuclear, Elementary Particle and High-Energy Physics",
issn = "0370-2693",
publisher = "Elsevier",
}