title: Spacetime and flux tube S-matrices at finite coupling for N=4 supersymmetric Yang-Mills theory.
abstract: We propose a nonperturbative formulation of planar scattering amplitudes in N=4 supersymmetric Yang-Mills theory, or, equivalently, polygonal Wilson loops. The construction is based on the operator product expansion approach and introduces a new decomposition of the Wilson loop in terms of fundamental building blocks named pentagon transitions. These transitions satisfy a simple relation to the worldsheet S matrix on top of the so-called Gubser-Klebanov-Polyakov vacuum which allows us to bootstrap them at any value of the coupling. In this Letter we present a subsector of the full solution which we call the gluonic part. We match our results with both weak and strong coupling data available in the literature.
authors.affiliation: Perimeter Institute for Theoretical Physics, Waterloo, Ontario N2L 2Y5, Canada.
authors.forename: Benjamin
authors.initials: B
authors.lastname: Basso
authors.forename: Amit
authors.initials: A
authors.lastname: Sever
authors.forename: Pedro
authors.initials: P
authors.lastname: Vieira