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SIGMA 4 (2008), 049, 13 pages arXiv:0802.1776
https://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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