TL;DR
This paper introduces a canonical quantization of Courant algebroids over Veronese rings, utilizing semi-infinite cohomology to define sheaves of chiral differential operators on certain homogeneous spaces.
Contribution
It provides a novel quantization method for Courant algebroids over Veronese rings and links it to semi-infinite cohomology and sheaves of chiral differential operators.
Findings
Canonical quantization of Courant algebroids achieved
Semi-infinite cohomology interpretation established
Sheaves of chiral differential operators constructed on homogeneous spaces
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.
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