Holographic Carrollian currents for massless scattering
Abstract We show that the Ward identities of a Carrollian CFT stress tensor at null infinity reproduce the leading and subleading soft graviton theorems for massless scattering in the bulk. We deduce the expressions of the stress tensor components in terms of the bulk radiative modes, and these comp...
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2025-01-01
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Series: | Journal of High Energy Physics |
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Online Access: | https://doi.org/10.1007/JHEP01(2025)169 |
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author | Romain Ruzziconi Amartya Saha |
author_facet | Romain Ruzziconi Amartya Saha |
author_sort | Romain Ruzziconi |
collection | DOAJ |
description | Abstract We show that the Ward identities of a Carrollian CFT stress tensor at null infinity reproduce the leading and subleading soft graviton theorems for massless scattering in the bulk. We deduce the expressions of the stress tensor components in terms of the bulk radiative modes, and these components turn out to be local at I $$ \mathcal{I} $$ in terms of the twistor potentials. This analysis makes the correspondence between the large-time limit of Carrollian amplitudes and the soft limit of momentum space amplitudes manifest. We then construct Carrollian CFT currents from the ascendants of the hard graviton operator, which satisfy the Lw 1+∞ algebra. We show that the large-time limit of their Ward identities implies an infinite tower of projected soft graviton theorems in the bulk, while their finite-time OPEs encode the collinear limit of scattering amplitudes. |
format | Article |
id | doaj-art-dedb2bb5135f4c44a996a2b6561d0238 |
institution | Kabale University |
issn | 1029-8479 |
language | English |
publishDate | 2025-01-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj-art-dedb2bb5135f4c44a996a2b6561d02382025-02-09T12:06:52ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025116710.1007/JHEP01(2025)169Holographic Carrollian currents for massless scatteringRomain Ruzziconi0Amartya Saha1Mathematical Institute, University of OxfordDepartment of Physics, Indian Institute of Technology KanpurAbstract We show that the Ward identities of a Carrollian CFT stress tensor at null infinity reproduce the leading and subleading soft graviton theorems for massless scattering in the bulk. We deduce the expressions of the stress tensor components in terms of the bulk radiative modes, and these components turn out to be local at I $$ \mathcal{I} $$ in terms of the twistor potentials. This analysis makes the correspondence between the large-time limit of Carrollian amplitudes and the soft limit of momentum space amplitudes manifest. We then construct Carrollian CFT currents from the ascendants of the hard graviton operator, which satisfy the Lw 1+∞ algebra. We show that the large-time limit of their Ward identities implies an infinite tower of projected soft graviton theorems in the bulk, while their finite-time OPEs encode the collinear limit of scattering amplitudes.https://doi.org/10.1007/JHEP01(2025)169Conformal and W SymmetryScattering AmplitudesField Theories in Lower DimensionsSpace-Time Symmetries |
spellingShingle | Romain Ruzziconi Amartya Saha Holographic Carrollian currents for massless scattering Journal of High Energy Physics Conformal and W Symmetry Scattering Amplitudes Field Theories in Lower Dimensions Space-Time Symmetries |
title | Holographic Carrollian currents for massless scattering |
title_full | Holographic Carrollian currents for massless scattering |
title_fullStr | Holographic Carrollian currents for massless scattering |
title_full_unstemmed | Holographic Carrollian currents for massless scattering |
title_short | Holographic Carrollian currents for massless scattering |
title_sort | holographic carrollian currents for massless scattering |
topic | Conformal and W Symmetry Scattering Amplitudes Field Theories in Lower Dimensions Space-Time Symmetries |
url | https://doi.org/10.1007/JHEP01(2025)169 |
work_keys_str_mv | AT romainruzziconi holographiccarrolliancurrentsformasslessscattering AT amartyasaha holographiccarrolliancurrentsformasslessscattering |