Free Boson Representation of $q$-Vertex Operators and their Correlation Functions

Abstract

A bosonization scheme of the $q$-vertex operators of $\uqa$ for arbitrary level is obtained. They act as intertwiners among the highest weight modules constructed in a bosonic Fock space. An integral formula is proposed for $N$-point functions and explicit calculation for two-point function is presented.

22 pages, latex file, UT-618 (revised version)

References in corpus (4)

• Correlation Functions of the XXZ model for $\Delta <-1$
• Diagonalization of the XXZ Hamiltonian by Vertex Operators
• Quantum affine symmetry in vertex models
• Deformation of the Wakimoto construction

Cited by in corpus (16)

• Form factors of the XXZ Heisenberg spin-1/2 finite chain
• Correlation functions of the XXZ Heisenberg spin-1/2 chain in a magnetic field
• Free Boson Realization of $U_q(\widehat{s{l}_N})$
• Bosonization of ZF Algebras: Direction Toward Deformed Virasoro Algebra
• Free Field Representation for the Classical Limit of Quantum Affine Algebra
• Free Field Representation of Quantum Affine Algebra $U_q\widehat{s{l}_2}$ and Form Factors in Higher Spin XXZ Model
• $U_q[\widehat{sl(2|1)}]$ Vertex Operators, Screen Currents and Correlation Functions at Arbitrary Level
• Quantum Knizhnik--Zamolodchikov equation for $U_q(\widehat{s{l}_n})$ and integral formula
• Screenings and Vertex Operators of Quantum Superalgebra $U_q(\widehat{sl}(N|1))$
• Free Field Approach to Solutions of the Quantum Knizhnik-Zamolodchikov Equations
• Traces of intertwiners for quantum affine algebras and difference equations (after Etingof-Schiffmann-Varchenko)
• Affine Macdonald conjectures and special values of Felder-Varchenko functions
• An integrable $U_q(\widehat{gl}(2|2){)}_1$-Model: Corner Transfer Matrices and Young Skew Diagrams
• Free Field Representation of Level-$k$ Yangian Double $\mathcal{D}Y(s{l}_2{)}_k$ and Deformation of Wakimoto Modules
• A $U_q(\widehat{gl}(2|2){)}_1$-Vertex Model: Creation Algebras and Quasi-Particles I
• q-Wakimoto Modules and Integral Formulae of the Quantum Knizhnik-Zamolodchikov Equations