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Vertex operators of quantum affine Lie algebrasU q (D n (1) )
Authors:Naihuan Jing  Seok-Jin Kang  Yoshitaka Koyama
Institution:(1) Department of Mathematics, North Carolina State University, 27695 Raleigh, NC, USA;(2) Department of Mathematics, College of Natural Sciences, Seoul National University, 151-742 Seoul, Korea;(3) Research Institute for Mathematical Science, Kyoto University, 606 Kyoto, Japan
Abstract:We give an explicit formula for the vertex operators related to the level 1 representations of the quantum affine Lie algebrasU q (D n (1) ) in terms of bosons. As an application, we derive an integral formula for the correlation functions of the vertex models withU q (D n (1) )-symmetry.NJ was supported in part by NSA grant MDA904-93-H-3005 and University of Kansas General Research allocation.SJK was supported in part by Basic Science Research Institute Program, Ministry of Education of Korea, BSRI-94-1414 and GARC-KOSEF at Seoul National University, Korea.
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