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

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., <i>SIGMA</i> <b>4</b> (2008), 049, 13 pages].