Classification of transitive vertex algebroids

Details Classification of transitive vertex algebroids Classification of transitive vertex algebroids

2010-10-16

arxiv.org/abs/1010.3385v1

Mathematics

Quantum Algebra

26 pages

Scientific paper

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.

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