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Symmetry, Integrability and Geometry: Methods and Applications, 2009, Volume 5, 027, 21 pp.
DOI: https://doi.org/10.3842/SIGMA.2009.027 (Mi sigma373) 		 
$q$-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik–Zamolodchikov Equations

Kazunori Kuroki

Department of Mathematics, Kyushu University, Hakozaki 6-10-1, Fukuoka 812-8581, Japan
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DOI: https://doi.org/10.3842/SIGMA.2009.027
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., <i>SIGMA</i> <b>4</b> (2008), 049, 13 pages].
Keywords: free field; vertex operator; qKZ equation; $q$-Wakimoto module.
Received: October 31, 2008; in final form February 25, 2009; Published online March 7, 2009
Bibliographic databases:
Document Type: Article
MSC: 81R50; 20G42; 17B69
Language: English
Citation: Kazunori Kuroki, “$q$-Wakimoto Modules and Integral Formulae of Solutions of the Quantum Knizhnik–Zamolodchikov Equations”, SIGMA, 5 (2009), 027, 21 pp.
Citation in format AMSBIB
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