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arxiv: 0810.4748 · v2 · submitted 2008-10-27 · 🧮 math.QA

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

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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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