Constant symplectic 2-groupoids

Authors

Rajan Amit Mehta, Smith CollegeFollow
Xiang Tang, Washington University in St. Louis

Document Type

Article

Publication Date

5-2018

Publication Title

Letters in Mathematical Physics

Abstract

We propose a definition of symplectic 2-groupoid which includes integrations of Courant algebroids that have been recently constructed. We study in detail the simple but illustrative case of constant symplectic 2-groupoids. We show that the constant symplectic 2-groupoids are, up to equivalence, in one-to-one correspondence with a simple class of Courant algebroids that we call constant Courant algebroids. Furthermore, we find a correspondence between certain Dirac structures and Lagrangian sub-2-groupoids.

Keywords

Dirac, Symplectic, 2-Groupoids, Courant algebroids

Volume

108

Issue

5

First Page

1203

Last Page

1223

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Rights

Licensed to Smith College and distributed CC-BY under the Smith College Faculty Open Access Policy.

Comments

Mathematics Subject Classification: 53D17 58H05

Peer reviewed accepted manuscript.

Recommended Citation

Mehta, Rajan Amit and Tang, Xiang, "Constant symplectic 2-groupoids" (2018). Mathematics Sciences: Faculty Publications, Smith College, Northampton, MA.
https://scholarworks.smith.edu/mth_facpubs/44