We construct the hypergeometric solutions for the quantized Knizhnik–Zamolodchikov equation with values in a tensor product of vector representations of Uq(sln) at |q| = 1 and give an explicit formula for the corresponding determinant in terms of the double sine function.
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Tetsuji Miwa, Yoshihiro Takeyama, Vitaly Tarasov, Determinant Formula for Solutions of the Quantum Knizhnik–Zamolodchikov Equation Associated with <em>U<sub>q</sub></em>(<em>sl<sub>n</sub></em>) at |<em>q</em>| = 1. Publ. Res. Inst. Math. Sci. 35 (1999), no. 6, pp. 871–892DOI 10.2977/PRIMS/1195143360