Celestial soft currents at one-loop and their OPEs
Conformally soft operators and their associated soft theorems on the celestial sphere encode the low energy behaviour of bulk scattering amplitudes. They lead to an infinite dimensional symmetry algebra of the celestial CFT at tree-level. In this paper, focusing our attention to Yang-Mills theory, w...
| Main Authors: | , |
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| Format: | Journal article |
| Language: | English |
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Springer
2024
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| _version_ | 1826313407673925632 |
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| author | Bhardwaj, R Yelleshpur Srikant, A |
| author_facet | Bhardwaj, R Yelleshpur Srikant, A |
| author_sort | Bhardwaj, R |
| collection | OXFORD |
| description | Conformally soft operators and their associated soft theorems on the celestial sphere encode the low energy behaviour of bulk scattering amplitudes. They lead to an infinite dimensional symmetry algebra of the celestial CFT at tree-level. In this paper, focusing our attention to Yang-Mills theory, we introduce new operators in the boundary celestial CFT in order to extend the definition of conformally soft currents to include one-loop effects. We then compute their OPEs with other operators in the theory. We also examine new subtleties that arise in defining OPEs of two conformally soft operators. We elucidate the connection between the new operators and loop corrected soft theorems in the bulk. Finally, we conclude by demonstrating how these operators fit into the framework of a logarithmic CFT. |
| first_indexed | 2024-09-25T04:12:37Z |
| format | Journal article |
| id | oxford-uuid:aee8d04b-8b98-49d6-92ee-81c119d4f79d |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-09-25T04:12:37Z |
| publishDate | 2024 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:aee8d04b-8b98-49d6-92ee-81c119d4f79d2024-07-05T20:04:55ZCelestial soft currents at one-loop and their OPEsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:aee8d04b-8b98-49d6-92ee-81c119d4f79dEnglishJisc Publications RouterSpringer2024Bhardwaj, RYelleshpur Srikant, AConformally soft operators and their associated soft theorems on the celestial sphere encode the low energy behaviour of bulk scattering amplitudes. They lead to an infinite dimensional symmetry algebra of the celestial CFT at tree-level. In this paper, focusing our attention to Yang-Mills theory, we introduce new operators in the boundary celestial CFT in order to extend the definition of conformally soft currents to include one-loop effects. We then compute their OPEs with other operators in the theory. We also examine new subtleties that arise in defining OPEs of two conformally soft operators. We elucidate the connection between the new operators and loop corrected soft theorems in the bulk. Finally, we conclude by demonstrating how these operators fit into the framework of a logarithmic CFT. |
| spellingShingle | Bhardwaj, R Yelleshpur Srikant, A Celestial soft currents at one-loop and their OPEs |
| title | Celestial soft currents at one-loop and their OPEs |
| title_full | Celestial soft currents at one-loop and their OPEs |
| title_fullStr | Celestial soft currents at one-loop and their OPEs |
| title_full_unstemmed | Celestial soft currents at one-loop and their OPEs |
| title_short | Celestial soft currents at one-loop and their OPEs |
| title_sort | celestial soft currents at one loop and their opes |
| work_keys_str_mv | AT bhardwajr celestialsoftcurrentsatoneloopandtheiropes AT yelleshpursrikanta celestialsoftcurrentsatoneloopandtheiropes |