Non-Abelian currents bootstrap
Abstract We initiate the study of correlation functions of non-Abelian spin-1 conserved current in three-dimensional conformal field theories using numerical conformal bootstrap. We discuss the general framework and apply it to the particular cases of SU(N) and O(N) global symmetry. In both cases, w...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2024)175 |
| _version_ | 1827205526075736064 |
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| author | Yin-Chen He Junchen Rong Ning Su Alessandro Vichi |
| author_facet | Yin-Chen He Junchen Rong Ning Su Alessandro Vichi |
| author_sort | Yin-Chen He |
| collection | DOAJ |
| description | Abstract We initiate the study of correlation functions of non-Abelian spin-1 conserved current in three-dimensional conformal field theories using numerical conformal bootstrap. We discuss the general framework and apply it to the particular cases of SU(N) and O(N) global symmetry. In both cases, we obtain general bounds on operator dimensions. In the large-N limit our bounds show features in correspondence of the expected position of fermionic QED3 in three dimensions, as well as other interesting theories. By imposing gaps inspired by the spectrum of QED3 at large-N, we manage to restrict the plane of certain operator dimensions to a small island, where QED3 must live. |
| first_indexed | 2024-04-24T12:43:18Z |
| format | Article |
| id | doaj.art-14b4f4e91ec64a888da0b22e6c7a513b |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2025-03-21T12:09:40Z |
| publishDate | 2024-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-14b4f4e91ec64a888da0b22e6c7a513b2024-06-30T11:09:05ZengSpringerOpenJournal of High Energy Physics1029-84792024-03-012024313410.1007/JHEP03(2024)175Non-Abelian currents bootstrapYin-Chen He0Junchen Rong1Ning Su2Alessandro Vichi3Perimeter Institute for Theoretical PhysicsInstitut des Hautes Études ScientifiquesDepartment of Physics, University of Pisa and INFNDepartment of Physics, University of Pisa and INFNAbstract We initiate the study of correlation functions of non-Abelian spin-1 conserved current in three-dimensional conformal field theories using numerical conformal bootstrap. We discuss the general framework and apply it to the particular cases of SU(N) and O(N) global symmetry. In both cases, we obtain general bounds on operator dimensions. In the large-N limit our bounds show features in correspondence of the expected position of fermionic QED3 in three dimensions, as well as other interesting theories. By imposing gaps inspired by the spectrum of QED3 at large-N, we manage to restrict the plane of certain operator dimensions to a small island, where QED3 must live.https://doi.org/10.1007/JHEP03(2024)175Gauge SymmetryScale and Conformal Symmetries |
| spellingShingle | Yin-Chen He Junchen Rong Ning Su Alessandro Vichi Non-Abelian currents bootstrap Journal of High Energy Physics Gauge Symmetry Scale and Conformal Symmetries |
| title | Non-Abelian currents bootstrap |
| title_full | Non-Abelian currents bootstrap |
| title_fullStr | Non-Abelian currents bootstrap |
| title_full_unstemmed | Non-Abelian currents bootstrap |
| title_short | Non-Abelian currents bootstrap |
| title_sort | non abelian currents bootstrap |
| topic | Gauge Symmetry Scale and Conformal Symmetries |
| url | https://doi.org/10.1007/JHEP03(2024)175 |
| work_keys_str_mv | AT yinchenhe nonabeliancurrentsbootstrap AT junchenrong nonabeliancurrentsbootstrap AT ningsu nonabeliancurrentsbootstrap AT alessandrovichi nonabeliancurrentsbootstrap |