A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain. II. The Polynomials p(n)
Journal article, 2022

By specializing the parameters in the partition function of the 8VSOS model with domain wall boundary conditions and diagonal reflecting end, we find connections between the three-color model and certain polynomials p(n)(z), which are conjectured to be equal to certain polynomials of Bazhanov and Mangazeev, appearing in the eigenvectors of the Hamiltonian of the supersymmetric XYZ spin chain. This article is a continuation of a previous paper where we investigated the related polynomials q(n)(z), also conjectured to be equal to polynomials of Bazhanov and Mangazeev, appearing in the eigenvectors of the supersymmetric XYZ spin chain.

domain wall boundary conditions

reflecting end

XYZ spin chain

positive coefficients

three-color model

polynomials

eight-vertex SOS model

Author

Linnea Hietala

Uppsala University

Chalmers, Mathematical Sciences, Analysis and Probability Theory

University of Gothenburg

Symmetry, Integrability and Geometry - Methods and Applications

18150659 (eISSN)

Vol. 18 036

Subject Categories

Applied Mechanics

Computational Mathematics

Mathematical Analysis

DOI

10.3842/SIGMA.2022.036

More information

Latest update

9/28/2022