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SIGMA 5 (2009), 027, 21 pages arXiv:0810.4748
https://doi.org/10.3842/SIGMA.2009.027
q-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik-Zamolodchikov Equations
Kazunori Kuroki
Department of Mathematics, Kyushu University, Hakozaki 6-10-1, Fukuoka 812-8581, Japan
Received October 31, 2008, in final form February 25, 2009; Published online March 07, 2009
Abstract
Matrix elements of intertwining operators between q-Wakimoto modules associated to the tensor product of representations of
Uq(^sl2) with arbitrary spins are studied.
It is shown that they coincide with the Tarasov-Varchenko's formulae of the solutions of the qKZ equations.
The result generalizes that of the previous paper [Kuroki K., Nakayashiki A.,
SIGMA 4 (2008), 049, 13 pages].
Key words:
free field; vertex operator; qKZ equation; q-Wakimoto module.
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