Determinat formula for solutions of the $U_q(sl_n)$ qKZ equation at $|q|=1$

Miwa, Tetsuji; Takeyama, Yoshihiro; Tarasov, Vitaly

Determinat formula for solutions of the $U_q(sl_n)$ qKZ equation at $|q|=1$

Authors

Miwa, Tetsuji

Takeyama, Yoshihiro

Tarasov, Vitaly

Description

We construct the hypergeometric solutions for the quantized KZ equation with values in a tensor product of vector representations of $U_q(sl_n)$ at $|q|=1$ and give an explicit formula for the corresponding determinant in terms of the double sine function.
19 pages