A CFT Dual for Celestial MHV Amplitudes - Informal HEP Talk

This informal high energy physics talk explores the construction of a 2D CFT dual for 4D gluon MHV amplitudes in flat space, based on research papers 2403.18896 and 2312.07820. Begin with a review of celestial holography fundamentals, particularly examining the challenges in understanding translation invariance within the CFT dual framework. Discover the concept of leaf amplitudes—smooth functions that connect traditional flat space amplitudes with the proposed CFT dual. Learn about the structure of this CFT dual, which consists of two distinct sectors: one featuring free fermions that generate a current algebra, and another based on Liouville theory. Understand how correlators of light operators in the semiclassical limit of Liouville theory correspond to scalar contact Witten diagrams, a key insight that enables the reproduction of gluon MHV amplitudes through the dual's correlators.