Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898525 | Journal of Geometry and Physics | 2014 | 8 Pages |
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. By using this twisted Courant algebroid, we give some new results about the Cartan curvature and the Weyl structure of a parabolic geometry. As more direct applications, we can construct a Lie 2-algebra and a three-dimensional (3D) AKSZ sigma model from a coisotropic Cartan geometry.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Xiaomeng Xu,