IAS High Energy Theory Seminar
Scattering Amplitudes in Maximally Supersymmetric Gauge Theory and a New Duality
For contact-tracing purposes all off-campus attendees must register for this seminar:
All in-person attendees must be fully vaccinated, including a booster dose. Masks are optional in all indoor spaces. Additionally, all off-campus attendees are required to upload proof of vaccination that includes a booster dose via the IAS CrowdPass App .
Abstract: 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.