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 tho...

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Veröffentlicht in:arXiv.org 2008-06
Hauptverfasser: Kuroki, Kazunori, Nakayashiki, Atsushi
Format: Artikel
Sprache:eng
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Zusammenfassung: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.
ISSN:2331-8422
DOI:10.48550/arxiv.0802.1776