engleski

A classification of irreducible Wakimoto modules for the affine Lie algebra $A_1 ^{;;; ; (1)};;; ; $

By using methods developed in (D. Adamović, Communications in Mathematical Physics, 2007) we study the irreducibility of certain Wakimoto modules for affine Lie algebra A_1 ^(1) at the critical level. We classify all χ∈C((z)) such that the corresponding Wakimoto module Wχ is irreducible. It turns out that zeros of Schur polynomials play important rule in the classification result.

vertex superalgebras ; affine Lie algebras ; critical level ; Wakimoto module

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