Twisted Fusion Products and Quantum Twisted -Systems
We obtain a complete characterization of the space of matrix elements dual to the graded multiplicity space arising from fusion products of Kirillov-Reshetikhin modules over special twisted current algebras defined by Kus and Venkatesh, which generalizes the result of Ardonne and Kedem to the specia...
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| Опубліковано в: : | Symmetry, Integrability and Geometry: Methods and Applications |
|---|---|
| Дата: | 2025 |
| Автор: | |
| Формат: | Стаття |
| Мова: | Англійська |
| Опубліковано: |
Інститут математики НАН України
2025
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| Онлайн доступ: | https://nasplib.isofts.kiev.ua/handle/123456789/213536 |
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| Назва журналу: | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| Цитувати: | Twisted Fusion Products and Quantum Twisted -Systems. Mingyan Simon Lin. SIGMA 21 (2025), 041, 41 pages |
Репозитарії
Digital Library of Periodicals of National Academy of Sciences of Ukraine| _version_ | 1860273220971659264 |
|---|---|
| author | Lin, Mingyan Simon |
| author_facet | Lin, Mingyan Simon |
| citation_txt | Twisted Fusion Products and Quantum Twisted -Systems. Mingyan Simon Lin. SIGMA 21 (2025), 041, 41 pages |
| collection | DSpace DC |
| container_title | Symmetry, Integrability and Geometry: Methods and Applications |
| description | We obtain a complete characterization of the space of matrix elements dual to the graded multiplicity space arising from fusion products of Kirillov-Reshetikhin modules over special twisted current algebras defined by Kus and Venkatesh, which generalizes the result of Ardonne and Kedem to the special twisted current algebras. We also prove the conjectural identity of -graded fermionic sums by Hatayama et al. for the special twisted current algebras, from which we deduce that the graded tensor product multiplicities of the fusion products of Kirillov-Reshetikhin modules over special twisted current algebras are both given by the -graded fermionic sums, and constant term evaluations of products of solutions of the quantum twisted -systems obtained by Di Francesco and Kedem.
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| first_indexed | 2026-03-21T12:06:32Z |
| format | Article |
| fulltext | |
| id | nasplib_isofts_kiev_ua-123456789-213536 |
| institution | Digital Library of Periodicals of National Academy of Sciences of Ukraine |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2026-03-21T12:06:32Z |
| publishDate | 2025 |
| publisher | Інститут математики НАН України |
| record_format | dspace |
| spelling | Lin, Mingyan Simon 2026-02-18T11:28:29Z 2025 Twisted Fusion Products and Quantum Twisted -Systems. Mingyan Simon Lin. SIGMA 21 (2025), 041, 41 pages 1815-0659 2020 Mathematics Subject Classification: 17B37; 13F60 arXiv:2410.08657 https://nasplib.isofts.kiev.ua/handle/123456789/213536 https://doi.org/10.3842/SIGMA.2025.041 We obtain a complete characterization of the space of matrix elements dual to the graded multiplicity space arising from fusion products of Kirillov-Reshetikhin modules over special twisted current algebras defined by Kus and Venkatesh, which generalizes the result of Ardonne and Kedem to the special twisted current algebras. We also prove the conjectural identity of -graded fermionic sums by Hatayama et al. for the special twisted current algebras, from which we deduce that the graded tensor product multiplicities of the fusion products of Kirillov-Reshetikhin modules over special twisted current algebras are both given by the -graded fermionic sums, and constant term evaluations of products of solutions of the quantum twisted -systems obtained by Di Francesco and Kedem. The author would like to thank Phillipe Di Francesco and Rinat Kedem for their helpful clarifications and illuminating discussions throughout the project. The author would also like to thank the anonymous referees for their careful reading of the manuscript and helpful suggestions to improve the exposition of this paper. Part of this work was completed while the author was a graduate student at the University of Illinois Urbana-Champaign, where the author was supported by a graduate fellowship from A*STAR (Agency for Science, Technology and Research, Singapore), and this work was also supported in part by the US National Science Foundation (DMS-1802044). en Інститут математики НАН України Symmetry, Integrability and Geometry: Methods and Applications Twisted Fusion Products and Quantum Twisted -Systems Article published earlier |
| spellingShingle | Twisted Fusion Products and Quantum Twisted -Systems Lin, Mingyan Simon |
| title | Twisted Fusion Products and Quantum Twisted -Systems |
| title_full | Twisted Fusion Products and Quantum Twisted -Systems |
| title_fullStr | Twisted Fusion Products and Quantum Twisted -Systems |
| title_full_unstemmed | Twisted Fusion Products and Quantum Twisted -Systems |
| title_short | Twisted Fusion Products and Quantum Twisted -Systems |
| title_sort | twisted fusion products and quantum twisted -systems |
| url | https://nasplib.isofts.kiev.ua/handle/123456789/213536 |
| work_keys_str_mv | AT linmingyansimon twistedfusionproductsandquantumtwistedsystems |