Deformation Theory of Courant Algebroids via the Rothstein Algebra
Quantum Algebra
2011-09-23 v4 Mathematical Physics
math.MP
Abstract
In this paper we define Courant algebroids in a purely algebraic way and study their deformation theory by using two different but equivalent graded Poisson algebras of degree -2. First steps towards a quantization of Courant algebroids are proposed by employing a Fedosov like deformation quantization.
Keywords
Cite
@article{arxiv.0807.0584,
title = {Deformation Theory of Courant Algebroids via the Rothstein Algebra},
author = {Frank Keller and Stefan Waldmann},
journal= {arXiv preprint arXiv:0807.0584},
year = {2011}
}
Comments
34 pages, major update: included Fedosov construction for the deformation quantization of Courant algebroids