Symmetry, Integrability and Geometry: Methods and Applications (SIGMA)


SIGMA 4 (2008), 049, 13 pages      arXiv:0802.1776      http://dx.doi.org/10.3842/SIGMA.2008.049

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

Kazunori Kuroki a and Atsushi Nakayashiki b
a) Department of Mathematics, Kyushu University, Hakozaki 6-10-1, Fukuoka 812-8581, Japan
b) Department of Mathematics, Kyushu University, Ropponmatsu 4-2-1, Fukuoka 810-8560, Japan

Received February 18, 2008, in final form May 27, 2008; Published online June 03, 2008

Abstract
Solutions of the qKZ equation associated with the quantum affine algebra Uq(^sl2) 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.

Key words: free field; vertex operator; qKZ equation; q-Wakimoto module.

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