Algebraic Bethe ansatz for the Zamolodchikov–Fateev and Izergin–Korepin models with open boundary conditions

2004/06/30 by V. Kurak, A. Lima-Santos · 1 citation
Mathematics · Physics and Astronomy · #Advanced Topics in Algebra #Algebraic number #Algebraic structures and combinatorial models #Bethe ansatz #Boundary (topology) #Computer science #Diagonal #Geometry #Integrable system #Mathematical analysis #Mathematical physics #Mathematics #Nonlinear Waves and Solitons #Physics #Quantum electrodynamics #Reflection (computer programming) #hep-th #nlin.SI

paper · pdf · doi:10.1016/j.nuclphysb.2004.08.040

published as Nucl.Phys.B699:595-631,2004 · 35 pages, Revised version, minor changes, LaTex

openalex publication_date 2004/09/14 · arxiv created 2006/09/03 · arxiv updated 2010/04/07 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05

Abstract

We have considered the Zamolodchikov-Fateev and the Izergin-Korepin models with diagonal reflection boundaries. In each case the eigenspectrum of the transfer matrix is determined by application of the algebraic Bethe Ansatz.

Citations

• Quantum Inverse Scattering Method and Correlation Functions
• The inverse scattering method approach to the quantum Shabat-Mikhailov model
• QUANTUM ALGEBRA STRUCTURE OF EXACTLY SOLUBLE QUANTUM SPIN CHAINS
• Integrable vertex and loop models on the square lattice with open boundaries via reflection matrices
• Current algebra and Wess-Zumino model in two dimensions
• Diagonalisation d'une classe d'hamiltoniens de spin
• Bethe ansatz solution for quantum spin-1 chains with boundary terms
• Boundary conditions for integrable quantum systems
• Bethe ansätze for 19-vertex models

Cited by

• Symmetries of spin systems and Birman–Wenzl–Murakami algebra