Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations

Abstract

Solutions of the qKZ equation associated with the quantum affine algebra $U_q({\widehat{sl}}_2)$ and its two dimensional evaluation representation are studied. The integral formulae derived from the free field realization of intertwining operators of $q$-Wakimoto modules are shown to coincide with those of Tarasov and Varchenko.

Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

Cited by in corpus (1)

• q-Wakimoto Modules and Integral Formulae of the Quantum Knizhnik-Zamolodchikov Equations