# Chiral differential operators via Batalin-Vilkovisky quantization

@article{Gorbounov2016ChiralDO, title={Chiral differential operators via Batalin-Vilkovisky quantization}, author={V. Gorbounov and Owen Gwilliam and B. Williams}, journal={arXiv: Quantum Algebra}, year={2016} }

We show that the local observables of the curved beta gamma system encode the sheaf of chiral differential operators using the machinery of the book "Factorization algebras in quantum field theory", by Kevin Costello and the second author, which combines renormalization, the Batalin-Vilkovisky formalism, and factorization algebras. Our approach is in the spirit of deformation quantization via Gelfand-Kazhdan formal geometry. We begin by constructing a quantization of the beta gamma system with… CONTINUE READING

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