Article ID Journal Published Year Pages File Type
1898525 Journal of Geometry and Physics 2014 8 Pages PDF
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
,