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.
Binder and Slava Rychkov, Deligne categories in lattice models and quantum field theory, or making sense of O(N) symmetry with non-integer N, J
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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.