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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Main Authors: Romain Ruzziconi, Amartya Saha
Format: Article
Language:English
Published: SpringerOpen 2025-01-01
Series:Journal of High Energy Physics
Subjects:
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.
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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