Twisted Courant algebroids and coisotropic Cartan geometries
Differential Geometry
2018-02-28 v2
Abstract
In this paper, we show that associated to any coisotropic Cartan geometry there is a twisted Courant algebroid. This includes in particular parabolic geometries. Using this twisted Courant structure, we give some new results about the Cartan curvature and the Weyl structure of a parabolic geometry. As more direct applications, we have Lie 2-algebra and 3D AKSZ sigma model with background associated to any coisotropic Cartan geometry.
Keywords
Cite
@article{arxiv.1206.2282,
title = {Twisted Courant algebroids and coisotropic Cartan geometries},
author = {Xu Xiaomeng},
journal= {arXiv preprint arXiv:1206.2282},
year = {2018}
}