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

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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