# Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations - Mathematics > Quantum Algebra

Abstract: Solutions of the qKZ equation associated with the quantum affine algebra$U q\hat{sl} 2$ and its two dimensional evaluation representation arestudied. The integral formulae derived from the free field realization ofintertwining operators of $q$-Wakimoto modules are shown to coincide with thoseof Tarasov and Varchenko.

Author: Kazunori Kuroki, Atsushi Nakayashiki

Source: https://arxiv.org/