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THE QUANTUM KNIZHNIK–ZAMOLODCHIKOV EQUATION ASSOCIATED WITH Uq(A2(2)) FOR |q| = 1

2001/05/18 by Takeo Kojima
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Nonlinear Waves and Solitons #Quantum many-body systems #hep-th #nlin.SI

paper · pdf · doi:10.1142/s0217751x0301214x

published as Int.J.Mod.Phys. A18 (2003) 225-248 · LaTEX2e, 18pages

arxiv created 2001/05/18 · openalex publication_date 2003/01/16 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We present an integral representation to the quantum Knizhnik–Zamolodchikov equation associated with twisted affine symmetry [Formula: see text] 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 → -1, our conjectural formula reproduce the correlation function for the Izergin–Korepin model 1,2 at critical point q = -1.

Citations