Quantum \({\mathcal W}_ N\) algebras and Macdonald polynomials (Q1924050)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Quantum \({\mathcal W}_ N\) algebras and Macdonald polynomials |
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Quantum \({\mathcal W}_ N\) algebras and Macdonald polynomials (English)
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30 October 1997
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In a previous paper [Lett. Math. Phys. 38, 33-51 (1996; Zbl 0867.17010)] the authors derived a quantum Virasoro algebra whose singular vectors are some kinds of Macdonald polynomials. As a generalization they present in this paper a quantum \(W_N\) algebra whose singular vectors realize the general Macdonald polynomials.
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quantum \(W_ N\) algebra
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quantum Miura transformation
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vertex operators
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singular vectors
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general Macdonald polynomials
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