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A Celestial Dual for MHV Amplitudes

2024/03/27 by Walker Melton, Atul Sharma, Melton, Walker +5 · 1 citation
Physics and Astronomy · #Solar and Space Plasma Dynamics #Ionosphere and magnetosphere dynamics #Magnetic confinement fusion research

paper · pdf · doi:10.48550/arxiv.2403.18896

Abstract

It is shown that a 2D CFT consisting of a central charge c Liouville theory, a chiral level one, rank N Kac-Moody algebra and a weight -3/2 free fermion holographically generate 4D MHV tree-level scattering amplitudes. The correlators of this 2D CFT give directly the 4D leaf amplitudes associated to a single hyperbolic slice of flat space. The 4D celestial amplitudes arise in a large-N and semiclassical large-c limit, according to the holographic dictionary, as a translationally-invariant combination of leaf amplitudes. A step in the demonstration is showing that the semiclassical limit of Liouville correlators are given by contact AdS3 Witten diagrams.

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