JournalsprimsVol. 35 , No. 6DOI 10.2977/prims/1195143360

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

  • Tetsuji Miwa

    Kyoto University, Japan
  • Yoshihiro Takeyama

    Kyoto University, Japan
  • Vitaly Tarasov

    Steklov Mathematical Institute, St. Petersburg, Russian Federation
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 cover

Abstract

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.