Quantum $W_N$ Algebras and Macdonald Polynomials

Abstract

We derive a quantum deformation of the $W_N$ algebra and its quantum Miura transformation, whose singular vectors realize the Macdonald polynomials.

LaTeX file, 17-pages, no-figures, a reference added

References in corpus (5)

• Exact operator solution of the Calogero-Sutherland model
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• Collective fields, Calogero-Sutherland model and generalized matrix models
• Integral Representations of the Macdonald Symmetric Functions
• Bosonization of ZF Algebras: Direction Toward Deformed Virasoro Algebra

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