Exchange Relations for the q-Vertex Operators of $U_q(\widehat{sl2})$

Details Exchange Relations for the q-Vertex Operators of $U_q(\widehat{sl2})$ Exchange Relations for the q-Vertex Operators of $U_q(\widehat{sl2})$

1992-11-19

arxiv.org/abs/hep-th/9211087v1

Prog.Theor.Phys. 89 (1993) 771-786

Physics

High Energy Physics

High Energy Physics - Theory

20pp

Scientific paper

10.1143/PTP.89.771

We consider the q-deformed Knizhnik-Zamolodchikov equation for the two point function of q-deformed vertex operators of $U_q(sl_2^)$. We give explicitly the fundamental solutions, the connection matrices and the exchange relations for the q-vertex operators of spin 1/2 and $j \in {1\over 2}{\bf Z}_{\geq 0}$. Consequently, we confirm that the connection matrices are equivalent to the elliptic Boltzman weights of IRF type obtained by the fusion procedure from ABF models.

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