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A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain. II. The Polynomials $p_n$

Mathematical Physics 2022-05-17 v3 Combinatorics math.MP

Abstract

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 pn(z)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 qn(z)q_n(z), also conjectured to be equal to polynomials of Bazhanov and Mangazeev, appearing in the eigenvectors of the supersymmetric XYZ spin chain.

Keywords

Cite

@article{arxiv.2104.04651,
  title  = {A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain. II. The Polynomials $p_n$},
  author = {Linnea Hietala},
  journal= {arXiv preprint arXiv:2104.04651},
  year   = {2022}
}

Comments

arXiv admin note: text overlap with arXiv:2004.09924