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

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

2008-10-27

arxiv.org/abs/0810.4748v2

SIGMA 5 (2009), 027, 21 pages

Mathematics

Quantum Algebra

Scientific paper

10.3842/SIGMA.2009.027

Matrix elements of intertwining operators between $q$-Wakimoto modules associated to the tensor product of representations of $U_q(\widehat{sl_2})$ 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, arXiv:0802.1776].

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