Exact solution of Belavin model with open boundary condition

2003/08/20 by Wen‐Li Yang, W. -L. Yang, Ryu Sasaki +1 · 3 citations
Mathematics · Physics and Astronomy · #Algebraic number #Algebraic structures and combinatorial models #Ansatz #Bethe ansatz #Boundary (topology) #Boundary value problem #Combinatorics #Eigenvalues and eigenvectors #Integrable system #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Photonic Systems #Nonlinear Waves and Solitons #Physics #Pure mathematics #Quantum mechanics #Vertex (graph theory) #Vertex model #hep-th #nlin.SI

paper · pdf · doi:10.1016/j.nuclphysb.2003.11.039

published as Nucl.Phys.B679:495-520,2004 · Latex file, 28 pages

arxiv created 2003/08/20 · openalex publication_date 2003/12/11 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

Z_n Belavin model with open boundary condition is studied. The double-row transfer matrices of the model are diagonalized by algebraic Bethe ansatz method in terms of the intertwiner and the face-vertex correspondence relation. The eigenvalues and the corresponding Bethe ansatz equations are obtained.

Citations

• Solution of the dual reflection equation for An−1(1) solid-on-solid model
• QUANTUM ALGEBRA STRUCTURE OF EXACTLY SOLUBLE QUANTUM SPIN CHAINS
• A course of modern analysis an introduction to the general theory of infinite processes and of analytic functions with an account of the principal transcendental functions
• Algebraic Bethe ansatz for the elliptic quantum group E,(sl) and its applications
• THE QUANTUM METHOD OF THE INVERSE PROBLEM AND THE HEISENBERG XYZ MODEL
• Boundary conditions for integrable quantum systems

Cited by

• Solution of the dual reflection equation for An−1(1) solid-on-solid model
• T–Q relation and exact solution for the XYZ chain with general non-diagonal boundary terms
• Partition function of the eight-vertex model with domain wall boundary condition