Vertex Algebroids over Veronese Rings

Abstract

We find a canonical quantization of Courant algebroids over Veronese rings. Part of our approach allows a semi-infinite cohomology interpretation, and the latter can be used to define sheaves of chiral differential operators on some homogeneous spaces including the space of pure spinors punctured at a point.

Keywords

• differential graded algebra
• vertex algebra
• algebroid