Abstract
Let Acrit be the chiral algebra corresponding to the affine Kac–Moody algebra at the critical level gˆcrit. Let Zcrit be the center of Acrit. The commutative chiral algebra Zcrit admits a canonical deformation into a non-commutative chiral algebra Wℏ. In this paper we will express the resulting first order deformation via the chiral algebra Dcrit of chiral differential operators on G((t)) at the critical level.
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