Defining relations for \(W\)-algebras from singular vectors (Q1973937)
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scientific article
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Defining relations for \(W\)-algebras from singular vectors |
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Defining relations for \(W\)-algebras from singular vectors (English)
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26 September 2002
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The author shows that the commutation relations of \(W\)-algebras can be recovered from the singular vectors of their simplest nontrivial, completely degenerate highest weight representation, if the weights of this representation and the coefficients of the singular vectors are given. The construction presented in the paper can be used to show that Toda theories have \(W\)-symmetries.
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\(W\)-algebras
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singular vectors
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Toda models
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commutation relations
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highest weight representation
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