Speaker
Description
We study scattering on the Coulomb branch of planar N=4 SYM.
At weak 't Hooft coupling scattering amplitudes can be computed using Feynman diagrams and the relevant degrees of freedom are quarks and gluons. At strong 't Hooft coupling the dynamics is captured by string scattering in flat space. Dual conformal symmetry makes it possible to constrain the unitarity properties and the spectrum of the amplitude: bound states are encoded in the cusp anomalous dimension of a Maldacena-Wilson line with operators inserted at the cusp, which is fixed by integrability. In this talk, we show how to combine dual conformal invariance, integrability, worldsheet bootstrap and the S-matrix bootstrap to explore scattering at finite 't Hooft coupling. [Based on 2510.19909 + work in progress]