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Résumé |
I will present recent progress in the bootstrap of n-point correlators in planar
conformal gauge theory (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. |
