From celestial correlators to AdS, and back

Iacobacci, Lorenzo; Sleight, Charlotte; Taronna, Massimo

Abstract

We present a general relation between celestial correlation functions in d-dimensions and Witten diagrams in (d + 1)-dimensional Euclidean anti-de Sitter (EAdS) space, to all orders in perturbation theory. Contact diagram processes are proportional to contact Witten diagrams and particle exchanges can be recast as a continuum of particle exchanges in EAdS where the exchanged particles carrying unitary Principal Series representations of SO(d + 1, 1). One can then try to import familiar EAdS techniques to study the properties of celestial correlators. In this work we use this relation to infer the analytic structure of the spectral density in the conformal partial wave expansion of celestial correlators which, at least perturbatively, should be a meromorphic function of the spectral parameter. We also discuss non-perturbative constraints from unitarity in Euclidean Conformal Field Theory, which requires positivity of the spectral density. This extends similar relations recently uncovered between boundary correlation functions in de Sitter space and Witten diagrams in EAdS, suggesting that EAdS could play a central role in efforts towards holography for all lambdas.

Citation

Iacobacci, L., Sleight, C., & Taronna, M. (2023). From celestial correlators to AdS, and back. Journal of High Energy Physics, 2023(6), Article 53. https://doi.org/10.1007/jhep06%282023%29053

• Journal Article Type: Article
• Acceptance Date: May 17, 2023
• Online Publication Date: Jun 12, 2023
• Publication Date: 2023
• Deposit Date: Oct 9, 2023
• Publicly Available Date: Oct 9, 2023
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2023
• Issue: 6
• Article Number: 53
• DOI: https://doi.org/10.1007/jhep06%282023%29053
• Keywords: Nuclear and High Energy Physics
• Public URL: https://durham-repository.worktribe.com/output/1787701