One-loop corrections to the celestial chiral algebra from Koszul Duality
Abstract We consider self-dual Yang-Mills theory (SDYM) in four dimensions and its lift to holomorphic BF theory on twistor space. Following the work of Costello and Paquette, we couple SDYM to a quartic axion field, which guarantees associativity of the (extended) celestial chiral algebra at the qu...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-04-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP04(2023)124 |
| _version_ | 1797769724494348288 |
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| author | Víctor E. Fernández |
| author_facet | Víctor E. Fernández |
| author_sort | Víctor E. Fernández |
| collection | DOAJ |
| description | Abstract We consider self-dual Yang-Mills theory (SDYM) in four dimensions and its lift to holomorphic BF theory on twistor space. Following the work of Costello and Paquette, we couple SDYM to a quartic axion field, which guarantees associativity of the (extended) celestial chiral algebra at the quantum level. We demonstrate how to reproduce their one-loop quantum deformation to the chiral algebra using Koszul duality. |
| first_indexed | 2024-03-12T21:12:09Z |
| format | Article |
| id | doaj.art-990040311f934c3ab35dc0777fb8ddee |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-03-12T21:12:09Z |
| publishDate | 2023-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-990040311f934c3ab35dc0777fb8ddee2023-07-30T11:04:43ZengSpringerOpenJournal of High Energy Physics1029-84792023-04-012023411710.1007/JHEP04(2023)124One-loop corrections to the celestial chiral algebra from Koszul DualityVíctor E. Fernández0Department of Physics, University of WashingtonAbstract We consider self-dual Yang-Mills theory (SDYM) in four dimensions and its lift to holomorphic BF theory on twistor space. Following the work of Costello and Paquette, we couple SDYM to a quartic axion field, which guarantees associativity of the (extended) celestial chiral algebra at the quantum level. We demonstrate how to reproduce their one-loop quantum deformation to the chiral algebra using Koszul duality.https://doi.org/10.1007/JHEP04(2023)124Anomalies in Field and String TheoriesConformal and W SymmetryGauge SymmetryScattering Amplitudes |
| spellingShingle | Víctor E. Fernández One-loop corrections to the celestial chiral algebra from Koszul Duality Journal of High Energy Physics Anomalies in Field and String Theories Conformal and W Symmetry Gauge Symmetry Scattering Amplitudes |
| title | One-loop corrections to the celestial chiral algebra from Koszul Duality |
| title_full | One-loop corrections to the celestial chiral algebra from Koszul Duality |
| title_fullStr | One-loop corrections to the celestial chiral algebra from Koszul Duality |
| title_full_unstemmed | One-loop corrections to the celestial chiral algebra from Koszul Duality |
| title_short | One-loop corrections to the celestial chiral algebra from Koszul Duality |
| title_sort | one loop corrections to the celestial chiral algebra from koszul duality |
| topic | Anomalies in Field and String Theories Conformal and W Symmetry Gauge Symmetry Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP04(2023)124 |
| work_keys_str_mv | AT victorefernandez oneloopcorrectionstothecelestialchiralalgebrafromkoszulduality |