The paper interpolates Feigin-Frenkel duality to complex rank by describing centers of affine vertex algebras in Deligne categories and constructing classical W-algebras for gl_λ and po_λ via an interpolated Drinfeld-Sokolov reduction.
Frenkel, Yi-Zhi Huang, and James Lepowsky, On axiomatic approaches to vertex operator algebras and modules, Mem
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Interpolating Feigin-Frenkel Duality at the Critical Level to Matrices of Complex Size
The paper interpolates Feigin-Frenkel duality to complex rank by describing centers of affine vertex algebras in Deligne categories and constructing classical W-algebras for gl_λ and po_λ via an interpolated Drinfeld-Sokolov reduction.