Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8255630 | Journal of Geometry and Physics | 2018 | 16 Pages |
Abstract
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.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Rajan Amit Mehta, Xiang Tang,