Speaker
Description
I will present recent progress about n-point correlators in planar conformal gauge theory ($\mathcal{N}=4$ SYM). I will focus on the double-scaling regime when $n$ operators ($1/2$-BPS) lie at the cusps of a polygon with light-like edges and the t’Hooft coupling goes to zero. In this limit the correlators undergo a dynamical factorization into simpler objects dubbed null-polygons that we compute at high perturbative order via the stampede light-cone method. I will explain the all-loop conjecture for the polygons as the solutions of coupled 2d Toda lattice equations. This result generalizes to $n$-point the four-point “null octagon" by A. Belitski and G. Korchemsky, and shows how the nice feature of determinants shows up also for $n>4$ points correlators providing a valuable boundary condition for an integrability-based bootstrap of higher-point correlators in general kinematics.
The talk is based on joint works with Pedro Vieira 2205.04476 and 2111.12131.
