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Quantum Knizhnik-Zamolodchikov equation associated with Uq(A2(2))U_q(A_2^{(2)}) for ∣q∣=1|q|=1

Abstract

We present an integral representation to the quantum Knizhnik-Zamolodchikov equation associated with twisted affine symmetry Uq(A2(2))U_q(A_2^{(2)}) for massless regime ∣q∣=1|q|=1. Upon specialization, it leads to a conjectural formula for the correlation function of the Izergin-Korepin model in massless regime ∣q∣=1|q|=1. In a limiting case q→−1q \to -1, our conjectural formula reproduce the correlation function for the Izergin-Korepin model at xritical point q=−1q=-1.Comment: LaTEX2e, 18page

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    Last time updated on 02/01/2020