Vertex operators of quantum affine Lie algebras \(U_ q(D_ n^{(1)})\)
type: Item
instance of: scholarly article
title: Vertex operators of quantum affine Lie algebras \(U_ q(D_ n^{(1)})\)
zbMATH Open document ID: 0873.17026
DOI: 10.1007/BF02099607
author: Naihuan Jing
author: Seok-Jin Kang
author: Yoshitaka Koyama
published in: Communications in Mathematical Physics
publication date: 1996-03-04T00:00:00Z
review text: This paper is based on \textit{E. Frenkel} and \textit{N. Jing}'s work on vertex representations of quantum affine Lie algebras [Proc. Natl. Acad. Sci. USA 85, 9373-9377 (1988; Zbl 0662.17006)] and \textit{M. Jimbo}, \textit{K. Miki}, \textit{T. Miwa} and \textit{A. Nakayashiki}'s work on correlation functions of the XXZ model for \(\Delta <-1\) [Phys. Lett. A 168, 256-263 (1992)]. The authors give an explicit formula for the vertex operators related to the level-one representations of the quantum affine Lie algebras \(U_q (D_n^{(1)})\) in terms of bosons. An integral formula for the correlation functions of the vertex models with \(U_q (D_n^{(1)})\)-symmetry has been obtained.
reviewed by: Xiaoping Xu
Mathematics Subject Classification ID: 17B69
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 17B67
zbMATH DE Number: 850578
zbMATH Keywords: quantum groups
zbMATH Keywords: vertex operators
zbMATH Keywords: level-one representations
zbMATH Keywords: quantum affine Lie algebras
zbMATH Keywords: correlation functions
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 850578