Celestial Recursion

Abstract

We examine the BCFW recursion relations for celestial amplitudes and how they inform the celestial bootstrap program. We start by recasting the celestial incarnation of the BCFW shift as a generalization of the action of familiar asymptotic symmetries on hard particles, before focusing on two limits: $z\to \infty$ and $z\to 0$. We then discuss how the celestial CFT data encodes the large-$z$ behavior determining which shifts are allowed, while the infinitesimal limit is tied to the celestial bootstrap program via the BG equations that constrain the MHV sector. The extension to super-BCFW is also presented. We close by remarking on several open questions for future study.

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Cited by in corpus (7)

• Bridging Carrollian and Celestial Holography
• Celestial Supersymmetry
• All-order celestial OPE from on-shell recursion
• Detector Operators for Celestial Symmetries
• Celestial self-dual Yang-Mills theory: a new formula and the OPE limit
• Celestial Berends-Giele current
• The Aharony-Bergman-Jafferis-Maldacena theory on a circle