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arXiv · 1206.2282

Twisted Courant algebroids and coisotropic Cartan geometries

Xu Xiaomeng
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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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Xu Xiaomeng. 2012-06-11. Twisted Courant algebroids and coisotropic Cartan geometries. https://doi.org/10.1016/j.geomphys.2014.03.002

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