Twisted Courant algebroids and coisotropic Cartan geometries

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. (C) 2014 Elsevier B.V. All rights reserved.http://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000337646500009&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=8e1609b174ce4e31116a60747a720701Mathematics, AppliedPhysics, MathematicalSCI(E)2ARTICLExiaomeng.Xu@unige.ch124-1318