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

Abstract

In this paper, we establish the connection between the quantized W-algebra of sl(2,1) and quantum parafermions of Uq( sl(2)) that a shifted product of the two quantum parafermions of Uq( sl(2)) generates the quantized W-algebra of sl(2,1).

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