Quantized W-algebra of sl(2,1) and quantum parafermions of U_q(sl(2))

Abstract

In this paper, we establish the connection between the quantized W-algebra of $\mathfrak{s}l(2,1)$ and quantum parafermions of $U_q(\widehat{\mathfrak{s}l}(2))$ that a shifted product of the two quantum parafermions of $U_q(\widehat{\mathfrak{s}l}(2))$ generates the quantized W-algebra of $\mathfrak{s}l(2,1)$.

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Cited by in corpus (5)

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• From bi-Hamiltonian geometry to separation of variables: stationary Harry-Dym and the KdV dressing chain
• Presymplectic representation of bi-Hamiltonian chain
• On Separation of Variables for Integrable Equations of Soliton Type
• Separability preserving Dirac reductions of Poisson pencils on Riemannian manifolds