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Regular version of the site

Article

Localization of Affine W-Algebras

Arakawa T., Kuwabara T., Fedor M.

We introduce the notion of an asymptotic algebra of chiral differential operators. We then construct, via a chiral Hamiltonian reduction, one such algebra over a resolution of the intersection of the Slodowy slice with the nilpotent cone. We compute the space of global sections of this algebra, thereby proving a localization theorem for affine W-algebras at the critical level.