New Combinatorial Formulae for Nested Bethe Vectors
We give new combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for the evaluation modules over the Yangian Y(₄). The case of Y(ₙ) for an arbitrary n is considered in [Lett. Math. Phys. 115 (2025), 12, 20 pages, arXiv:2402.15717].
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| Published in: | Symmetry, Integrability and Geometry: Methods and Applications |
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| Date: | 2025 |
| ISSN: | 1815-0659 |
| Main Authors: | , |
| Format: | Article |
| Language: | English |
| Published: |
Інститут математики НАН України
2025
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| Online Access: | https://nasplib.isofts.kiev.ua/handle/123456789/213516 |
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| Journal Title: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Cite this: | New Combinatorial Formulae for Nested Bethe Vectors. Maksim Kosmakov and Vitaly Tarasov. SIGMA 21 (2025), 060, 28 pages |
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Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862639574845489152 |
|---|---|
| author | Kosmakov, Maksim Tarasov, Vitaly |
| author_facet | Kosmakov, Maksim Tarasov, Vitaly |
| citation_txt | New Combinatorial Formulae for Nested Bethe Vectors. Maksim Kosmakov and Vitaly Tarasov. SIGMA 21 (2025), 060, 28 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We give new combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for the evaluation modules over the Yangian Y(₄). The case of Y(ₙ) for an arbitrary n is considered in [Lett. Math. Phys. 115 (2025), 12, 20 pages, arXiv:2402.15717].
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| first_indexed | 2026-03-15T03:36:23Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-213516 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-15T03:36:23Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Kosmakov, Maksim Tarasov, Vitaly 2026-02-18T11:22:56Z 2025 New Combinatorial Formulae for Nested Bethe Vectors. Maksim Kosmakov and Vitaly Tarasov. SIGMA 21 (2025), 060, 28 pages 1815-0659 2020 Mathematics Subject Classification: 17B37; 81R50; 82B23 arXiv:2312.00980 https://nasplib.isofts.kiev.ua/handle/123456789/213516 https://doi.org/10.3842/SIGMA.2025.060 We give new combinatorial formulae for vector-valued weight functions (off-shell nested Bethe vectors) for the evaluation modules over the Yangian Y(₄). The case of Y(ₙ) for an arbitrary n is considered in [Lett. Math. Phys. 115 (2025), 12, 20 pages, arXiv:2402.15717]. The authors thank the referees for their very careful reading of this paper and their valuable suggestions. The second author is supported in part by Simons Foundation grants 430235 and 852996. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications New Combinatorial Formulae for Nested Bethe Vectors Article published earlier |
| spellingShingle | New Combinatorial Formulae for Nested Bethe Vectors Kosmakov, Maksim Tarasov, Vitaly |
| title | New Combinatorial Formulae for Nested Bethe Vectors |
| title_full | New Combinatorial Formulae for Nested Bethe Vectors |
| title_fullStr | New Combinatorial Formulae for Nested Bethe Vectors |
| title_full_unstemmed | New Combinatorial Formulae for Nested Bethe Vectors |
| title_short | New Combinatorial Formulae for Nested Bethe Vectors |
| title_sort | new combinatorial formulae for nested bethe vectors |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/213516 |
| work_keys_str_mv | AT kosmakovmaksim newcombinatorialformulaefornestedbethevectors AT tarasovvitaly newcombinatorialformulaefornestedbethevectors |