A Celestial Dual for MHV Amplitudes

          @misc{ scivideos_PIRSA:24070080,
            doi = {10.48660/24070080},
            url = {https://pirsa.org/24070080},
            author = {},
            keywords = {},
            language = {en},
            title = {A Celestial Dual for MHV Amplitudes},
            publisher = {Perimeter Institute for Theoretical Physics},
            year = {2024},
            month = {jul},
            note = {PIRSA:24070080 see, \url{https://scivideos.org/index.php/pirsa/24070080}}
          }
          

Abstract

We show 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 generates 4D MHV leaf amplitudes associated to a single hyperbolic slice of flat space. 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.