A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain. II. The Polynomials ₙ
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 ₙ(), which are conjectured to be equal to certain polynomials of Bazhanov and Mangaz...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2022 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2022
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211632 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain. II. The Polynomials ₙ. Linnea Hietala. SIGMA 18 (2022), 036, 20 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862739920450224128 |
|---|---|
| author | Hietala, Linnea |
| author_facet | Hietala, Linnea |
| citation_txt | A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain. II. The Polynomials ₙ. Linnea Hietala. SIGMA 18 (2022), 036, 20 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | 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 ₙ(), 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 ₙ(), also conjectured to be equal to polynomials of Bazhanov and Mangazeev, appearing in the eigenvectors of the supersymmetric XYZ spin chain.
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| first_indexed | 2026-04-17T17:33:40Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211632 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-04-17T17:33:40Z |
| publishDate | 2022 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Hietala, Linnea 2026-01-07T13:41:53Z 2022 A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain. II. The Polynomials ₙ. Linnea Hietala. SIGMA 18 (2022), 036, 20 pages 1815-0659 2020 Mathematics Subject Classification: 82B23; 05A15; 33E17 arXiv:2104.04651 https://nasplib.isofts.kiev.ua/handle/123456789/211632 https://doi.org/10.3842/SIGMA.2022.036 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 ₙ(), 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 ₙ(), also conjectured to be equal to polynomials of Bazhanov and Mangazeev, appearing in the eigenvectors of the supersymmetric XYZ spin chain. This paper was written during my time as a Ph.D. student at the Department of Mathematical Sciences, University of Gothenburg, and Chalmers University of Technology. I am very thankful to my supervisor, Hjalmar Rosengren, and cosupervisor, Jules Lamers, for a lot of encouragement and support with my research. I would like to thank the anonymous referees for their nice and useful comments. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain. II. The Polynomials ₙ Article published earlier |
| spellingShingle | A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain. II. The Polynomials ₙ Hietala, Linnea |
| title | A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain. II. The Polynomials ₙ |
| title_full | A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain. II. The Polynomials ₙ |
| title_fullStr | A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain. II. The Polynomials ₙ |
| title_full_unstemmed | A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain. II. The Polynomials ₙ |
| title_short | A Combinatorial Description of Certain Polynomials Related to the XYZ Spin Chain. II. The Polynomials ₙ |
| title_sort | combinatorial description of certain polynomials related to the xyz spin chain. ii. the polynomials ₙ |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211632 |
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