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arXiv · 1112.0089

Localization of affine W-algebras

T. Arakawa·T. Kuwabara·F. Malikov
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Abstract

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.

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T. Arakawa, T. Kuwabara, F. Malikov. 2011-12-01. Localization of affine W-algebras. https://doi.org/10.1007/s00220-014-2183-x

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