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

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

1998-02-17

arxiv.org/abs/math/9802076v2

J. Nonlinear Math. Phys. 7 (2000), no. 2, 170-183

Mathematics

Quantum Algebra

Scientific paper

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 ${\frak sl}(2,1)$.

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