Palatini Variation in Generalized Geometry and String Effective Actions
High Energy Physics - Theory
2023-07-19 v1 Mathematical Physics
Differential Geometry
math.MP
Abstract
We develop the Palatini formalism within the framework of generalized Riemannian geometry of Courant algebroids. In this context, the Palatini variation of a generalized Einstein-Hilbert-Palatini action - formed using a generalized metric, a Courant algebroid connection (in contrary to the ordinary case, not necessarily a torsionless one) and a volume form - leads naturally to a proper notion of a generalized Levi-Civita connection and low-energy effective actions of string theory.
Cite
@article{arxiv.2211.09138,
title = {Palatini Variation in Generalized Geometry and String Effective Actions},
author = {Branislav Jurco and Filip Moucka and Jan Vysoky},
journal= {arXiv preprint arXiv:2211.09138},
year = {2023}
}