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

Abstract

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 $q=-1$.

LaTEX2e, 18pages

References in corpus (3)

• Correlation functions of the XXZ Heisenberg spin-1/2 chain in a magnetic field
• The 19-Vertex Model at critical regime $|q|=1$
• The critical $A_{n-1}^{(1)}$ chain

Cited by in corpus (1)

• The Drinfeld Realization of the Elliptic Quantum Group B_{q,lambda}(A_2^(2))