paper

Twisted Courant algebroids and coisotropic Cartan geometries

arXiv:1206.2282 · doi:10.1016/j.geomphys.2014.03.002

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.

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