Light-cone actions and correlators of self-dual theories in AdS₄

Chowdhury, Chandramouli; Doran, George; Lipstein, Arthur; Monteiro, Ricardo; Nagy, Silvia; Singh, Kajal

Abstract

Self-dual Yang-Mills and Einstein gravity in Euclidean AdS4 are useful toy models because they can be described by simple scalar Lagrangians exhibiting a new manifestation of the colour/kinematics duality, as recently shown by two of the authors. In this paper, we clarify how the self-dual sectors fit into the full theories. In particular, we explicitly construct the light-cone action for Yang-Mills theory and Einstein gravity in AdS4 in terms of positive and negative helicity fields, where we are able to pinpoint the self-dual sector as expected. We then show that the boundary correlators of these theories take a remarkably simple form in terms of Feynman diagrams in half of flat space, acted on by certain differential operators. We also analyse their soft limits and show that they exhibit Weinberg-like soft factors, where the soft pole which appears in scattering amplitudes is replaced by a derivative with respect to the energy.

Citation

Chowdhury, C., Doran, G., Lipstein, A., Monteiro, R., Nagy, S., & Singh, K. (2025). Light-cone actions and correlators of self-dual theories in AdS₄. Journal of High Energy Physics, 2025(1), Article 172. https://doi.org/10.1007/JHEP01%282025%29172

• Journal Article Type: Article
• Acceptance Date: Dec 24, 2024
• Online Publication Date: Jan 29, 2025
• Publication Date: 2025-01
• Deposit Date: Feb 5, 2025
• Publicly Available Date: Feb 5, 2025
• 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: 2025
• Issue: 1
• Article Number: 172
• DOI: https://doi.org/10.1007/JHEP01%282025%29172
• Keywords: AdS-CFT Correspondence, Scattering Amplitudes
• Public URL: https://durham-repository.worktribe.com/output/3467510