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Symmetry, Integrability and Geometry: Methods and Applications, 2022, Volume 18, 036, 20 pp.
DOI: https://doi.org/10.3842/SIGMA.2022.036 (Mi sigma1830) 		 
This article is cited in 1 scientific paper (total in 1 paper)

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

Linnea Hietalaab

a Department of Mathematical Sciences, Chalmers University of Technology and University of Gothenburg, 412 96 Gothenburg, Sweden
b Department of Mathematics, Uppsala University, Box 480, 751 06 Uppsala, Sweden
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DOI: https://doi.org/10.3842/SIGMA.2022.036
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 $p_n(z)$, 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.
Keywords: eight-vertex SOS model, domain wall boundary conditions, reflecting end, three-color model, XYZ spin chain, polynomials, positive coefficients.
Received: August 6, 2021; in final form April 29, 2022; Published online May 15, 2022
Bibliographic databases:
Document Type: Article
MSC: 82B23, 05A15, 33E17
Language: English
Citation: Linnea Hietala, “A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain. II. The Polynomials $p_n$”, SIGMA, 18 (2022), 036, 20 pp.
Citation in format AMSBIB
\Bibitem{Hie22}
\by Linnea~Hietala
\paper A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain. II.~The Polynomials~$p_n$
\jour SIGMA
\yr 2022
\vol 18
\papernumber 036
\totalpages 20
\mathnet{http://mi.mathnet.ru/sigma1830}
\crossref{https://doi.org/10.3842/SIGMA.2022.036}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4420905}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-85130708535}
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