Carrollian amplitudes from holographic correlators

A bstract Carrollian amplitudes are flat space amplitudes written in position space at null infinity which can be re-interpreted as correlators in a putative dual Carrollian CFT. We argue that these amplitudes are the natural objects obtained in the flat space limit of AdS Lorentzian boundary correlators. The flat limit is taken entirely in position space by introducing Bondi coordinates in the bulk. From the bulk perspective, this procedure makes it manifest that the flat limit of any Witten diagram is the corresponding flat space Feynman diagram. It also makes explicit the fact that the flat limit in the bulk is implemented by a Carrollian limit at the boundary. We systematically analyse tree-level two, three and four-point correlators. Familiar features such as the distributional nature of Carrollian amplitudes and the presence of a bulk point singularity arise naturally as a consequence of requiring a finite and non-trivial Carrollian limit.

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Publication Details

Journal
Journal of High Energy Physics
Published
2025-03-20
DOI
https://doi.org/10.1007/jhep03(2025)158
Citations
22
Primary Topic
Black Holes and Theoretical Physics
Type
article
Field-Weighted Citation Impact
41.14
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article

Carrollian amplitudes from holographic correlators

Luis F. Alday, Romain Ruzziconi, Akshay Yelleshpur Srikant, Maria Nocchi
22 citations
Journal of High Energy Physics
Black Holes and Theoretical Physics
41.14
article

Carrollian amplitudes from holographic correlators

Luis F. Alday, Romain Ruzziconi, Akshay Yelleshpur Srikant, Maria Nocchi
article en
22 citations

Abstract

A bstract Carrollian amplitudes are flat space amplitudes written in position space at null infinity which can be re-interpreted as correlators in a putative dual Carrollian CFT. We argue that these amplitudes are the natural objects obtained in the flat space limit of AdS Lorentzian boundary correlators. The flat limit is taken entirely in position space by introducing Bondi coordinates in the bulk. From the bulk perspective, this procedure makes it manifest that the flat limit of any Witten diagram is the corresponding flat space Feynman diagram. It also makes explicit the fact that the flat limit in the bulk is implemented by a Carrollian limit at the boundary. We systematically analyse tree-level two, three and four-point correlators. Familiar features such as the distributional nature of Carrollian amplitudes and the presence of a bulk point singularity arise naturally as a consequence of requiring a finite and non-trivial Carrollian limit.

Journal of High Energy PhysicsVol. 2025(3)
University of Oxford (GB)
Openalex Percentile: Top 0%
Black Holes and Theoretical Physics
41.14
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