Chambers and All Loop Geometry for Four-Point Correlators in N=4 SYM Theory

Explore a 46-minute conference talk from the Amplituhedra, Cluster Algebras, and Positive Geometry Conference where Yu-tin Huang from National Taiwan University delves into chambers and all loop geometry for four-point correlators in N=4 SYM theory. Learn how the all loop amplituhedron can be reinterpreted through loop fibration over tree geometry, leading to a detailed examination of tree geometry "chambers" whose boundaries indicate loop-form changes. Discover a novel geometry associated with all loop four-point correlators in N=4 SYM, featuring a unique case at four-loops where rational chamber forms coexist with elliptic integral loop forms.