Light transformation: a celestial and Carrollian perspective
Abstract In this paper, we first study the consequence of spacetime translations and Lorentz transformations on Celestial CFT OPEs. Working with the light transforms of the operators belonging to the modified Mellin basis, we found that the leading order singularity in the OPE of such operators coul...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2024-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2024)122 |
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| author | Sourish Banerjee Rudranil Basu Sayali Atul Bhatkar |
| author_facet | Sourish Banerjee Rudranil Basu Sayali Atul Bhatkar |
| author_sort | Sourish Banerjee |
| collection | DOAJ |
| description | Abstract In this paper, we first study the consequence of spacetime translations and Lorentz transformations on Celestial CFT OPEs. Working with the light transforms of the operators belonging to the modified Mellin basis, we found that the leading order singularity in the OPE of such operators could be fixed purely using Poincaré symmetries owing to the non-trivial action of the translations on these operators. The OPE coefficient is then fixed using the soft limit of the correlation functions. We check that this singular structure obtained from symmetries is consistent with the OPE limit of three-point functions. This approach could potentially be useful for studying Celestial CFT without adverting to bulk physics. As another goal, we explore the significance of light transformation in Carrollian CFTs. In the special cases we considered, we show that light transformation equips us with a map between two branches of Carroll CFT in d = 3 dimension at the level of correlation functions in the near coincident limit. |
| format | Article |
| id | doaj-art-23729598c5b140b388614545196745ab |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-23729598c5b140b388614545196745ab2025-01-05T12:06:14ZengSpringerOpenJournal of High Energy Physics1029-84792024-12-0120241213710.1007/JHEP12(2024)122Light transformation: a celestial and Carrollian perspectiveSourish Banerjee0Rudranil Basu1Sayali Atul Bhatkar2Department of Physics, Birla Institute of Technology and Science PilaniDepartment of Physics, Birla Institute of Technology and Science PilaniIntelligent Systems group Bernoulli Institute University of GroningenAbstract In this paper, we first study the consequence of spacetime translations and Lorentz transformations on Celestial CFT OPEs. Working with the light transforms of the operators belonging to the modified Mellin basis, we found that the leading order singularity in the OPE of such operators could be fixed purely using Poincaré symmetries owing to the non-trivial action of the translations on these operators. The OPE coefficient is then fixed using the soft limit of the correlation functions. We check that this singular structure obtained from symmetries is consistent with the OPE limit of three-point functions. This approach could potentially be useful for studying Celestial CFT without adverting to bulk physics. As another goal, we explore the significance of light transformation in Carrollian CFTs. In the special cases we considered, we show that light transformation equips us with a map between two branches of Carroll CFT in d = 3 dimension at the level of correlation functions in the near coincident limit.https://doi.org/10.1007/JHEP12(2024)122Gauge-Gravity CorrespondenceScale and Conformal SymmetriesScattering AmplitudesSpace-Time Symmetries |
| spellingShingle | Sourish Banerjee Rudranil Basu Sayali Atul Bhatkar Light transformation: a celestial and Carrollian perspective Journal of High Energy Physics Gauge-Gravity Correspondence Scale and Conformal Symmetries Scattering Amplitudes Space-Time Symmetries |
| title | Light transformation: a celestial and Carrollian perspective |
| title_full | Light transformation: a celestial and Carrollian perspective |
| title_fullStr | Light transformation: a celestial and Carrollian perspective |
| title_full_unstemmed | Light transformation: a celestial and Carrollian perspective |
| title_short | Light transformation: a celestial and Carrollian perspective |
| title_sort | light transformation a celestial and carrollian perspective |
| topic | Gauge-Gravity Correspondence Scale and Conformal Symmetries Scattering Amplitudes Space-Time Symmetries |
| url | https://doi.org/10.1007/JHEP12(2024)122 |
| work_keys_str_mv | AT sourishbanerjee lighttransformationacelestialandcarrollianperspective AT rudranilbasu lighttransformationacelestialandcarrollianperspective AT sayaliatulbhatkar lighttransformationacelestialandcarrollianperspective |