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

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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.

Autor: Kazunori Kuroki, Atsushi Nakayashiki

Fuente: https://arxiv.org/