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Mathematics  2008 

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

DOI: 10.3842/SIGMA.2009.027

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Abstract:

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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