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math-phMar 1, 2006
15
citations (OpenAlex)
authors
  • A Caradoc
  • O Foda
  • N Kitanine
institutions
  • Centre National de la Recherche Scientifique
  • The University of Melbourne
  • Université de Cergy-Pontoise
arXiv abstractPDF
paper

Higher spin vertex models with domain wall boundary conditions

arXiv:math-ph/0601061 · doi:10.1088/1742-5468/2006/03/P03012

Abstract

We derive determinant expressions for the partition functions of spin-k/2 vertex models on a finite square lattice with domain wall boundary conditions.

14 pages, 12 figures. Minor corrections. Version to appear in JSTAT

Cited by in corpus (10)

  • Combinatorial point for higher spin loop models
  • Partition function of the eight-vertex model with domain wall boundary condition
  • Domain wall partition function of the eight-vertex model with a non-diagonal reflecting end
  • Algebraic Bethe ansatz for U(1) Invariant Integrable Models: Compact and non-Compact Applications
  • Factorized domain wall partition functions in trigonometric vertex models
  • On the domain wall partition functions of level-1 affine so(n) vertex models
  • Determinant formula for the partition function of the six-vertex model with a non-diagonal reflecting end
  • On the trigonometric Felderhof model with domain wall boundary conditions
  • Symmetry classes of alternating sign matrices in the nineteen-vertex model
  • Functional relations in nineteen-vertex models with domain-wall boundaries
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