A combinatorial description of certain polynomials related to the XYZ spin chain

DOI10.3842/SIGMA.2020.101zbMath1456.82270arXiv2004.09924MaRDI QIDQ2223037

Linnea Hietala

Publication date: 28 January 2021

Published in: SIGMA. Symmetry, Integrability and Geometry: Methods and Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2004.09924

zbMATH Keywords

partition functionpolynomialsXYZ spin chaindomain wall boundary conditionspositive coefficientsreflecting endeight-vertex SOS modelthree-color model

Mathematics Subject Classification ID

Exact enumeration problems, generating functions (05A15) Exactly solvable models; Bethe ansatz (82B23) Painlevé-type functions (33E17)

Related Items

Exact results for the six-vertex model with domain wall boundary conditions and a partially reflecting end ⋮ A combinatorial description of certain polynomials related to the XYZ spin chain. II: The polynomials \(p_n\) ⋮ Nearest-neighbour correlation functions for the supersymmetric XYZ spin chain and Painlevé VI ⋮ Sum rules for the supersymmetric eight-vertex model

Uses Software

• ROBBINS

Cites Work

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