Symplectic structures on the integration of exact Courant algebroids

JOURNAL OF GEOMETRY AND PHYSICS

卷:127

Article

Mehta, Rajan Amit¹  Tang, Xiang² 

[1] Smith Coll, Dept Math & Stat, 44 Coll Lane, Northampton, MA 01063 USA

[2] Washington Univ, Dept Math, One Brookings Dr, St Louis, MO 63130 USA

关键词: Dirac;    Symplectic;    2-groupoids;    Courant algebroids;   

DOI  :  10.1016/j.geomphys.2018.02.001

来源: Elsevier

【 摘 要 】

We construct an infinite-dimensional symplectic 2-groupoid as the integration of an exact Courant algebroid. We show that every integrable Dirac structure integrates to a Lagrangian sub-2-groupoid of this symplectic 2-groupoid. As a corollary, we recover a result of Bursztyn-Crainic-Weinstein-Zhu that every integrable Dirac structure integrates to a presymplectic groupoid. (C) 2018 Elsevier B.V. All rights reserved.

【 授权许可】

Free