ABCD of qq-characters
Abstract The qq-characters are powerful tools to reveal symmetries and integrabilities of Seiberg-Witten theories. The goal of this paper is to provide analytic expressions of qq-characters based on Young diagrams in 5d 𝒩 = 1 pure Yang-Mills theories with BCD-type gauge groups, by focusing on the un...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-08-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP08(2023)200 |
| _version_ | 1797647482558087168 |
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| author | Satoshi Nawata Kilar Zhang Rui-Dong Zhu |
| author_facet | Satoshi Nawata Kilar Zhang Rui-Dong Zhu |
| author_sort | Satoshi Nawata |
| collection | DOAJ |
| description | Abstract The qq-characters are powerful tools to reveal symmetries and integrabilities of Seiberg-Witten theories. The goal of this paper is to provide analytic expressions of qq-characters based on Young diagrams in 5d 𝒩 = 1 pure Yang-Mills theories with BCD-type gauge groups, by focusing on the unrefined limit. Using these expressions, we investigate the relationships among qq-characters of classical gauge groups. For SO(n) gauge groups, we construct a quantum-toroidal-like algebra via the Ward-identity approach, which allows us to derive the qq-characters. |
| first_indexed | 2024-03-11T15:16:51Z |
| format | Article |
| id | doaj.art-7571247fd80d4833bf421b1357860801 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-11T15:16:51Z |
| publishDate | 2023-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-7571247fd80d4833bf421b13578608012023-10-29T12:10:50ZengSpringerOpenJournal of High Energy Physics1029-84792023-08-012023814310.1007/JHEP08(2023)200ABCD of qq-charactersSatoshi Nawata0Kilar Zhang1Rui-Dong Zhu2Department of Physics and Center for Field Theory and Particle Physics, Fudan UniversityDepartment of Physics, Shanghai UniversityInstitute for Advanced Study & School of Physical Science and Technology, Soochow UniversityAbstract The qq-characters are powerful tools to reveal symmetries and integrabilities of Seiberg-Witten theories. The goal of this paper is to provide analytic expressions of qq-characters based on Young diagrams in 5d 𝒩 = 1 pure Yang-Mills theories with BCD-type gauge groups, by focusing on the unrefined limit. Using these expressions, we investigate the relationships among qq-characters of classical gauge groups. For SO(n) gauge groups, we construct a quantum-toroidal-like algebra via the Ward-identity approach, which allows us to derive the qq-characters.https://doi.org/10.1007/JHEP08(2023)200Nonperturbative EffectsSupersymmetric Gauge TheoryQuantum GroupsWilson’t Hooft and Polyakov loops |
| spellingShingle | Satoshi Nawata Kilar Zhang Rui-Dong Zhu ABCD of qq-characters Journal of High Energy Physics Nonperturbative Effects Supersymmetric Gauge Theory Quantum Groups Wilson ’t Hooft and Polyakov loops |
| title | ABCD of qq-characters |
| title_full | ABCD of qq-characters |
| title_fullStr | ABCD of qq-characters |
| title_full_unstemmed | ABCD of qq-characters |
| title_short | ABCD of qq-characters |
| title_sort | abcd of qq characters |
| topic | Nonperturbative Effects Supersymmetric Gauge Theory Quantum Groups Wilson ’t Hooft and Polyakov loops |
| url | https://doi.org/10.1007/JHEP08(2023)200 |
| work_keys_str_mv | AT satoshinawata abcdofqqcharacters AT kilarzhang abcdofqqcharacters AT ruidongzhu abcdofqqcharacters |