Differential representation for Carrollian correlators

A bstract The differential representation of AdS correlators offers a framework to express exchange Witten diagrams as functions of non-local differential operators applied to contact Witten diagrams. In this paper, we develop the differential representation for scalar Carrollian correlators. We first construct this representation using the recently formulated Carrollian limit of AdS Witten diagrams. We then provide an alternate intrinsic analysis that leverages the properties of the Carrollian bulk-to-boundary propagator. Using the differential representation, we also obtain differential Bern-Carrasco-Johansson (BCJ) relations for Carrollian correlators.

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Publication Details

Journal
Journal of High Energy Physics
Published
2025-08-18
DOI
https://doi.org/10.1007/jhep08(2025)126
Citations
2
Primary Topic
Black Holes and Theoretical Physics
Type
article
Field-Weighted Citation Impact
3.74

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article

Differential representation for Carrollian correlators

Subramanya Hegde, Arpit Maurya, Shankhadeep Chakrabortty
2 citations
Journal of High Energy Physics
Black Holes and Theoretical Physics
3.74
article

Differential representation for Carrollian correlators

Subramanya Hegde, Arpit Maurya, Shankhadeep Chakrabortty
article en
2 citations

Abstract

A bstract The differential representation of AdS correlators offers a framework to express exchange Witten diagrams as functions of non-local differential operators applied to contact Witten diagrams. In this paper, we develop the differential representation for scalar Carrollian correlators. We first construct this representation using the recently formulated Carrollian limit of AdS Witten diagrams. We then provide an alternate intrinsic analysis that leverages the properties of the Carrollian bulk-to-boundary propagator. Using the differential representation, we also obtain differential Bern-Carrasco-Johansson (BCJ) relations for Carrollian correlators.

Journal of High Energy PhysicsVol. 2025(8)
Indian Institute of Technology Ropar (IN), Homi Bhabha National Institute (IN), Max Planck Institute for Physics (DE)
Arthritis National Research Foundation, Indian Institute of Science, Harish-Chandra Research Institute, European Commission, Council of Scientific and Industrial Research, India, Indian Institute of Technology Bombay, Indian Institute of Technology Mandi
Openalex Percentile: Top 7%
Black Holes and Theoretical Physics
3.74
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Differential representation for Carrollian correlators — Subramanya Hegde, Arpit Maurya, et al. · Journal of High Energy Physics (2025) | TGRS Research Map | TGRS