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

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

2001-05-18

arxiv.org/abs/nlin/0105043v1

Int.J.Mod.Phys. A18 (2003) 225-248

Nonlinear Sciences

Exactly Solvable and Integrable Systems

LaTEX2e, 18pages

Scientific paper

10.1142/S0217751X0301214X

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

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