arXiv subjects

Kazunori Kuroki

Publications and source records attributed to Kazunori Kuroki.

2 recordsLinked to original sources

arXiv2009

q-Wakimoto Modules and Integral Formulae 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., SIGMA 4 (2008), 049, 13 pages, arXiv:0802.1776].

math.QA↗

arXiv2008

Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations

Solutions of the qKZ equation associated with the quantum affine algebra $U_q(\hat{sl}_2)$ and its two dimensional evaluation representation are studied. The integral formulae derived from the free field realization of intertwining operators of $q$-Wakimoto modules are shown to coincide with those of Tarasov and Varchenko.

math.QA↗