Vertex Algebroids over Veronese Rings

Fyodor Malikov

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

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.

MSC: 14Fxx, 81R10; 17B69

Received: July 28, 2008; in final form December 7, 2008; Published online December 13, 2008

Language: English

DOI: 10.3842/SIGMA.2008.086

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ArXiv: 0807.1641