The domain wall partition function for the Izergin–Korepin nineteen-vertex model at a root of unity

DOI10.1088/1742-5468/2016/03/033112zbMath1456.82263OpenAlexW2964001443MaRDI QIDQ3302552

Alexandr Garbali

Publication date: 11 August 2020

Published in: Journal of Statistical Mechanics: Theory and Experiment (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1088/1742-5468/2016/03/033112

Mathematics Subject Classification ID

Exactly solvable models; Bethe ansatz (82B23)

Related Items (4)

Symmetric functions and wavefunctions of XXZ-type six-vertex models and elliptic Felderhof models by Izergin–Korepin analysis ⋮ The functional method for the domain-wall partition function ⋮ Functional relations in nineteen-vertex models with domain-wall boundaries ⋮ Izergin-Korepin analysis on the wavefunctions of the \(U_q(\mathrm{sl}_2)\) six-vertex model with reflecting end

Cites Work

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• Calculation of norms of Bethe wave functions
• The uniqueness theorem for the universal \(R\)-matrix
• Square-ice enumeration
• Form factors of the \(XXZ\) Heisenberg spin-\(\frac 12\) finite chain
• Symmetry classes of alternating-sign matrices under one roof
• Domain wall partition functions and KP
• Determinant formula for the six-vertex model with reflecting end
• Higher spin vertex models with domain wall boundary conditions

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