Staggered Polarization of Vertex Models with $U_q(\widehat{sl}(n))$-Symmetry

Abstract

In this paper we give an explicit formula for level 1 vertex operators related to $U_q(\widehat{sl}(n))$ as operators on the Fock spaces. We derive also their commutation relations. As an applications we culculate the one point functions of the one-dimensional spin chain associated with the vector representation of $U_q(\widehat{sl}(n))$, thereby extending the recent work on the staggered polarization of the $XXZ$-model.

18 pages, Latex file

References in corpus (3)

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

Cited by in corpus (30)

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• $U_q({\widehat{sl}}_n)$-analog of the XXZ chain with a boundary
• Principal subspaces for quantum affine algebra $U_q(A_n^{(1)})$
• Highest weight representations of $U_q(\widehat{sl}(2|1))$ and correlation functions of the q-deformed supersymmetric t-J model
• Level-One Representations and Vertex Operators of Quantum Affine Superalgebra $U_q[\widehat{gl(N|N)}]$
• On the calculation of the correlation functions of the ${\mathfrak{sl}}_3$-model by means of the reduced qKZ equation
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• Scalar products of the open XYZ chain with non-diagonal boundary terms
• Form factors of the half-infinite XXZ spin chain with a triangular boundary
• A unified treatment of Ising model magnetizations
• Asymptotic behaviour of two-point functions in multi-species models
• On the Construction of Correlation Functions for the Integrable Supersymmetric Fermion Models
• Vertex Operators of $U_q[\widehat{gl(N|N)}]$ and Highest Weight Representations of $U_q[\widehat{gl(2|2)}]$
• Vertex operators and principal subspaces of level one for $U_q({\widehat{\mathfrak{sl}}}_2)$
• Level-one Highest Weight Representation of $U_q[\widehat{sl(N|1)}]$ and Bosonization of the Multi-component Super t-J Model
• Level-One Highest Weight Representations of $U_q[\widehat{gl(1|1)}]$ and Associated Vertex Operators
• A note on the zeroth products of Frenkel-Jing operators
• The critical $A_{n-1}^{(1)}$ chain
• $U_q[\widehat{sl(2|1)}]$ Vertex Operators, Screen Currents and Correlation Functions at Arbitrary Level
• On the Bosonization of $L$-Operators for Quantum Affine Algebra $U_q(s{l}_2)$
• q-deformed Supersymmetric t-J Model with a Boundary
• Commutation relations of vertex operators for $U_q(\widehat{sl}(M|N))$
• Vertex operator approach for correlation functions of Belavin's (Z/nZ)-symmetric model
• Difference equations for the higher rank XXZ model with a boundary
• A $U_q(\widehat{gl}(2|2){)}_1$-Vertex Model: Creation Algebras and Quasi-Particles I
• Higher level vertex operators for $U_q({\widehat{\mathfrak{sl}}}_2)$
• Twisted and Non-Twisted Deformed Virasoro Algebra via Vertex Operators of $U_q({\widehat{\mathfrak{sl}}}_2)$