Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)

SIGMA 4 (2008), 086, 28 pages      arXiv:0807.1641
Contribution to the Special Issue on Kac-Moody Algebras and Applications

Vertex Algebroids over Veronese Rings

Fyodor Malikov
Department of Mathematics, University of Southern California, Los Angeles, CA 90089, USA

Received July 28, 2008, in final form December 07, 2008; Published online December 13, 2008

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.

Key words: differential graded algebra; vertex algebra; algebroid.

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