Differential Representation for Carrollian Correlators
Shankhadeep Chakrabortty, Subramanya Hegde, Arpit Maurya
TL;DR
This paper develops a differential representation for scalar Carrollian correlators, enabling new insights into their structure and relations, by leveraging limits of AdS diagrams and properties of Carrollian propagators.
Contribution
It introduces a novel differential representation for Carrollian correlators, extending the framework from AdS to Carrollian limits and deriving new BCJ relations.
Findings
Differential representation for scalar Carrollian correlators is constructed.
New differential BCJ relations for Carrollian correlators are derived.
The approach connects Carrollian correlators to AdS Witten diagrams.
Abstract
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.
Peer Reviews
No public reviews on file for this paper yet. If you reviewed it on a platform where reviews are public (OpenReview, ICLR, NeurIPS, ICML), you can paste yours below so the community can read it here.
Videos
No videos yet. Explain this paper in a talk, walkthrough, or lecture? Add one.
Taxonomy
TopicsEvolutionary Algorithms and Applications