Higher rank elliptic partition functions and multisymmetric elliptic functions
We introduce and investigate a class of glM+1 partition functions which is an extension of the one introduced by Foda-Manabe. We characterize the partition functions by a nested version of Izergin-Korepin analysis, and determine the explicit forms, for each of the rational, trigonometric and ellipti...
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| Format: | Article |
| Language: | English |
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Elsevier
2025-02-01
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| Series: | Nuclear Physics B |
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S055032132500015X |
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| _version_ | 1832586273734262784 |
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| author | Allan John Gerrard Kohei Motegi Kazumitsu Sakai |
| author_facet | Allan John Gerrard Kohei Motegi Kazumitsu Sakai |
| author_sort | Allan John Gerrard |
| collection | DOAJ |
| description | We introduce and investigate a class of glM+1 partition functions which is an extension of the one introduced by Foda-Manabe. We characterize the partition functions by a nested version of Izergin-Korepin analysis, and determine the explicit forms, for each of the rational, trigonometric and elliptic versions. The resulting multisymmetric functions can be regarded as extensions of the rational, trigonometric and elliptic weight functions. |
| format | Article |
| id | doaj-art-7e6d591a9a9046ec98800b29d025c42b |
| institution | Kabale University |
| issn | 0550-3213 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Nuclear Physics B |
| spelling | doaj-art-7e6d591a9a9046ec98800b29d025c42b2025-01-26T05:03:25ZengElsevierNuclear Physics B0550-32132025-02-011011116805Higher rank elliptic partition functions and multisymmetric elliptic functionsAllan John Gerrard0Kohei Motegi1Kazumitsu Sakai2Department of Physics, Tokyo University of Science, Kagurazaka 1-3, Shinjuku-ku, 162-8601, Tokyo, Japan; Corresponding author.Faculty of Marine Technology, Tokyo University of Marine Science and Technology, Etchujima 2-1-6, Koto-Ku, 135-8533, Tokyo, JapanDepartment of Physics, Tokyo University of Science, Kagurazaka 1-3, Shinjuku-ku, 162-8601, Tokyo, JapanWe introduce and investigate a class of glM+1 partition functions which is an extension of the one introduced by Foda-Manabe. We characterize the partition functions by a nested version of Izergin-Korepin analysis, and determine the explicit forms, for each of the rational, trigonometric and elliptic versions. The resulting multisymmetric functions can be regarded as extensions of the rational, trigonometric and elliptic weight functions.http://www.sciencedirect.com/science/article/pii/S055032132500015XIzergin-Korepin analysisPartition functionElliptic weight functionNested Bethe wavefunctionIntegrable lattice model |
| spellingShingle | Allan John Gerrard Kohei Motegi Kazumitsu Sakai Higher rank elliptic partition functions and multisymmetric elliptic functions Nuclear Physics B Izergin-Korepin analysis Partition function Elliptic weight function Nested Bethe wavefunction Integrable lattice model |
| title | Higher rank elliptic partition functions and multisymmetric elliptic functions |
| title_full | Higher rank elliptic partition functions and multisymmetric elliptic functions |
| title_fullStr | Higher rank elliptic partition functions and multisymmetric elliptic functions |
| title_full_unstemmed | Higher rank elliptic partition functions and multisymmetric elliptic functions |
| title_short | Higher rank elliptic partition functions and multisymmetric elliptic functions |
| title_sort | higher rank elliptic partition functions and multisymmetric elliptic functions |
| topic | Izergin-Korepin analysis Partition function Elliptic weight function Nested Bethe wavefunction Integrable lattice model |
| url | http://www.sciencedirect.com/science/article/pii/S055032132500015X |
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