A combinatorial description of certain polynomials related to the XYZ spin chain. II. The polynomials $p_n$

Linnea Hietala

Published 2021-04-10Version 1

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 $p_n(z)$ of Bazhanov and Mangazeev appearing in the eigenvectors of the Hamiltonian of the XYZ spin chain. This work is a continuation of a previous paper where we investigated the related polynomials $q_n(z)$ of Bazhanov and Mangazeev, also appearing in the eigenvectors of the XYZ spin chain.