Domain wall partition functions and KP

DOI10.1088/1742-5468/2009/03/P03017zbMath1456.82258arXiv0901.2251OpenAlexW2028696162WikidataQ58164618 ScholiaQ58164618MaRDI QIDQ3301034

Michael Wheeler, Mathew L. Zuparic, Omar Foda

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://arxiv.org/abs/0901.2251

zbMATH Keywords

classical integrabilitysolvable lattice modelsintegrable spin chains (vertex models)quantum integrability (Bethe ansatz)

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Exactly solvable models; Bethe ansatz (82B23) Lattice systems (Ising, dimer, Potts, etc.) and systems on graphs arising in equilibrium statistical mechanics (82B20) Scattering theory of linear operators (47A40) Lattice dynamics; integrable lattice equations (37K60)

Related Items (9)

Symmetric functions and wavefunctions of XXZ-type six-vertex models and elliptic Felderhof models by Izergin–Korepin analysis ⋮ The generalization of strong anisotropic XXZ model and UC hierarchy ⋮ XXZ scalar products and KP ⋮ Phase model expectation values and the 2-Toda hierarchy ⋮ A new representation for the partition function of the six-vertex model with domain wall boundaries ⋮ Twisted Heisenberg chain and the six-vertex model with DWBC ⋮ The domain wall partition function for the Izergin–Korepin nineteen-vertex model at a root of unity ⋮ Comments on Slavnov products, Temperley-Lieb open spin chains, and KP tau functions ⋮ The higher spin generalization of the 6-vertex model with domain wall boundary conditions and Macdonald polynomials

Cites Work

• Calculation of norms of Bethe wave functions
• Dynamical correlation functions of the \(XXZ\) spin-1/2 chain
• Square-ice enumeration
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