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Symmetry, Integrability and Geometry: Methods and Applications, 2008, Volume 4, 049, 13 pp.
DOI: https://doi.org/10.3842/SIGMA.2008.049 (Mi sigma302) 		 
This article is cited in 3 scientific papers (total in 3 papers)

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

Kazunori Kuroki, Atsushi Nakayashiki

Department of Mathematics, Kyushu University, Hakozaki 6-10-1, Fukuoka 812-8581, Japan
Full-text PDF (260 kB) Citations (3)
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DOI: https://doi.org/10.3842/SIGMA.2008.049
Abstract: Solutions of the qKZ equation associated with the quantum affine algebra $U_q(\widehat{sl}_2)$ 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.
Keywords: free field; vertex operator; qKZ equation; $q$-Wakimoto module.
Received: February 18, 2008; in final form May 27, 2008; Published online June 3, 2008
Bibliographic databases:
Document Type: Article
MSC: 81R50; 20G42; 17B69
Language: English
Citation: Kazunori Kuroki, Atsushi Nakayashiki, “Free Field Approach to Solutions of the Quantum Knizhnik–Zamolodchikov Equations”, SIGMA, 4 (2008), 049, 13 pp.
Citation in format AMSBIB
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\by Kazunori Kuroki, Atsushi Nakayashiki
\paper Free Field Approach to Solutions of the Quantum Knizhnik--Zamolodchikov Equations
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\vol 4
\papernumber 049
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    		Symmetry, Integrability and Geometry: Methods and Applications
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