Heterotic Reduction of Courant Algebroid Connections and Einstein-Hilbert Actions
High Energy Physics - Theory
2016-06-22 v2 Differential Geometry
Abstract
We discuss Levi-Civita connections on Courant algebroids. We define an appropriate generalization of the curvature tensor and compute the corresponding scalar curvatures in the exact and heterotic case, leading to generalized (bosonic) Einstein-Hilbert type of actions known from supergravity. In particular, we carefully analyze the process of the reduction for the generalized metric, connection, curvature tensor and the scalar curvature.
Keywords
Cite
@article{arxiv.1512.08522,
title = {Heterotic Reduction of Courant Algebroid Connections and Einstein-Hilbert Actions},
author = {Branislav Jurco and Jan Vysoky},
journal= {arXiv preprint arXiv:1512.08522},
year = {2016}
}
Comments
New section and several references added based on the journal review