Yu tin Huang | Chambers and all loop geometry for four-point correlators

Amplituhedra, Cluster Algebras, and Positive Geometry Conference
May 31, 2024
Speaker: Yu-tin Huang, National Taiwan University
Title: Chambers and all loop geometry for four-point correlators
Abstract: The all loop amplituhedron for N=4 SYM (and ABJM theory) can be recast into the notion of loop fibration over tree geometry. This leads to a further dissection of the tree geometry into “chambers”, whose boundaries represents when the associated loop-form changes. In this talk I will present a new geometry associated with the all loop four-point correlator of N=4 SYM, where similar description is present. Interestingly, at four-loops, this gives a first example where the chamber form is rational even though it’s loop form contains elliptic integrals.