Classification of transitive vertex algebroids
Quantum Algebra
2010-10-19 v1 Algebraic Geometry
Abstract
We present a classification of transitive vertex algebroids on a smooth variety X carried out in the spirit of Bressler's classification of Courant algebroids. In particular, we compute the class of the stack of transitive vertex algebroids. We define deformations of sheaves of twisted chiral differential operators introduced in \cite{AChM} and use the classification result to describe and classify such deformations. As a particular case, we obtain a localization of Wakimoto modules at non-critical level on flag manifolds.
Cite
@article{arxiv.1010.3385,
title = {Classification of transitive vertex algebroids},
author = {Dmytro Chebotarov},
journal= {arXiv preprint arXiv:1010.3385},
year = {2010}
}
Comments
26 pages