IAS High Energy Theory Seminar
Scattering Amplitudes, Positive Geometries and Surfaces
This seminar will be presented in-person in Wolfensohn Hall at the IAS and on Zoom.
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, and masks are required in all indoor spaces (except while actively eating). Additionally, all off-campus attendees are required to upload proof of vaccination with booster dose via the IAS CrowdPass App .
In recent years we have witnessed the emergence of a novel description for the physics of scattering amplitudes at the heart of which are mathematical structures called Positive Geometries, which loosely speaking are generalizations of polytopes having the crucial feature of encoding in their boundaries the singularity structure of amplitudes and loop-level integrands.
While the history of this geometrical description of scattering amplitudes has its roots in the Grassmannian formulation of N=4 planar sYM and in the Amplituhedron, it has since then been extended to a colored version of φ^3 theory. This in turn led to the discovery of a family of polytopes canonically attached to orientable surfaces, which my collaborators and I have dubbed Surfacehedra.
In this talk I will review these recent developments focusing in particular on a (still conjectural) connection between Surfacehedra and bosonic string amplitudes.