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arXiv · 2208.11635

Celestial Recursion

Yangrui Hu·Sabrina Pasterski
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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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Yangrui Hu, Sabrina Pasterski. 2022-08-24. Celestial Recursion. https://doi.org/10.1007/jhep01(2023)151

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