Vertex Algebroids over Veronese Rings

Mathematics – Algebraic Geometry

Scientific paper

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This is a contribution to the Special Issue on Kac-Moody Algebras and Applications, published in SIGMA (Symmetry, Integrabilit

Scientific paper

10.3842/SIGMA.2008.086

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.

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