Celestial Dual for Maximal Helicity Violating Amplitudes

Journal Article · 30 August 2024 · Physical Review Letters

DOI: https://doi.org/10.1103/PhysRevLett.133.091603 · OSTI ID:2438610

Melton, Walker; Sharma, Atul ; Strominger, Andrew ; Wang, Tianli

It is shown that a 2D conformal field theory 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 maximal helicity violating tree-level scattering amplitudes. The correlators of this 2D conformal field theory 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 3D anti–de Sitter Witten diagrams. Published by the American Physical Society 2024

• Sponsoring Organization: USDOE
• Grant/Contract Number: SC0007870
• OSTI ID: 2438610
• Journal Information: Physical Review Letters, Journal Name: Physical Review Letters Journal Issue: 9 Vol. 133; ISSN 0031-9007; ISSN PRLTAO
• Publisher: American Physical SocietyCopyright Statement
• Country of Publication: United States
• Language: English