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

arXiv:math/9802076 · doi:10.2991/jnmp.2000.7.2.7

Abstract

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