On -Isomonodromic Deformations and -Nekrasov Functions
We construct a fundamental system of a -difference Lax pair of rank in terms of 5d Nekrasov functions with = . Our fundamental system degenerates by the limit → 1 to a fundamental system of a differential Lax pair, which yields the Fuji-Suzuki-Tsuda system. We introduce tau functions of our syste...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
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| Дата: | 2021 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2021
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/211299 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | On -Isomonodromic Deformations and -Nekrasov Functions. Hajime Nagoya. SIGMA 17 (2021), 050, 21 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1862631135173935104 |
|---|---|
| author | Nagoya, Hajime |
| author_facet | Nagoya, Hajime |
| citation_txt | On -Isomonodromic Deformations and -Nekrasov Functions. Hajime Nagoya. SIGMA 17 (2021), 050, 21 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We construct a fundamental system of a -difference Lax pair of rank in terms of 5d Nekrasov functions with = . Our fundamental system degenerates by the limit → 1 to a fundamental system of a differential Lax pair, which yields the Fuji-Suzuki-Tsuda system. We introduce tau functions of our system as Fourier transforms of 5d Nekrasov functions. Using asymptotic expansions of the fundamental system at 0 and ∞, we obtain several determinantal identities of the tau functions.
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| first_indexed | 2026-03-14T18:31:40Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-211299 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-14T18:31:40Z |
| publishDate | 2021 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Nagoya, Hajime 2025-12-29T11:05:21Z 2021 On -Isomonodromic Deformations and -Nekrasov Functions. Hajime Nagoya. SIGMA 17 (2021), 050, 21 pages 1815-0659 2020 Mathematics Subject Classification: 39A13; 33E17; 05A30 arXiv:2004.13916 https://nasplib.isofts.kiev.ua/handle/123456789/211299 https://doi.org/10.3842/SIGMA.2021.050 We construct a fundamental system of a -difference Lax pair of rank in terms of 5d Nekrasov functions with = . Our fundamental system degenerates by the limit → 1 to a fundamental system of a differential Lax pair, which yields the Fuji-Suzuki-Tsuda system. We introduce tau functions of our system as Fourier transforms of 5d Nekrasov functions. Using asymptotic expansions of the fundamental system at 0 and ∞, we obtain several determinantal identities of the tau functions. This work is partially supported by JSPS KAKENHI Grant Number JP18K03326. The author thanks the referees for their valuable suggestions and comments. en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications On -Isomonodromic Deformations and -Nekrasov Functions Article published earlier |
| spellingShingle | On -Isomonodromic Deformations and -Nekrasov Functions Nagoya, Hajime |
| title | On -Isomonodromic Deformations and -Nekrasov Functions |
| title_full | On -Isomonodromic Deformations and -Nekrasov Functions |
| title_fullStr | On -Isomonodromic Deformations and -Nekrasov Functions |
| title_full_unstemmed | On -Isomonodromic Deformations and -Nekrasov Functions |
| title_short | On -Isomonodromic Deformations and -Nekrasov Functions |
| title_sort | on -isomonodromic deformations and -nekrasov functions |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/211299 |
| work_keys_str_mv | AT nagoyahajime onisomonodromicdeformationsandnekrasovfunctions |