Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4667720 | Advances in Mathematics | 2007 | 57 Pages |
Abstract
We find necessary and sufficient conditions of irreducibility of vacuum modules over affine Lie algebras and superalgebras. From this we derive conditions of simplicity of minimal W-algebras. Moreover, in the case of the Virasoro and Neveu–Schwarz algebras we obtain explicit formulas for the vacuum determinants.
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