Vertex operators of quantum affine Lie algebras \(U_ q(D_ n^{(1)})\) (Q1908070)

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.