IAS HET Seminar | Lance Dixon, Stanford University| "Scattering Amplitudes in Maximally Supersymmetric Gauge Theory and a New Duality" | Wolfensohn Hall & Zoom

Mon, May 2, 2022, 2:30 pm

Scattering amplitudes are the arena where quantum field theory directly meets collider experiments.  An excellent model for scattering in QCD is provided by N=4 super-Yang-Mills theory, particularly in the planar limit of a large number of colors, where the theory becomes integrable, and amplitudes become dual to light-like polygonal Wilson-loop expectation values.  The first nontrivial case is the 6-gluon amplitude (hexagonal Wilson loop), which can be computed to 7 loops using a bootstrap which is based on the rigidity of the function space of multiple polylogarithms, together with a few other conditions.  It is also possible to bootstrap a particular form factor, for the chiral stress-tensor operator to produce 3 gluons, through 8 loops.  Remarkably, the two sets of results are related by a mysterious “antipodal” duality, which exchanges the role of branch cuts and derivatives.  I will describe how bootstrapping works and what we know about this new duality.