Scattering Amplitudes from Intersection Theory

by Sebastian Mizera (Perimeter Institute for Theoretical Physics)

Thursday 25 Apr 2019, 14:00 → 16:00 Europe/Zurich

4/3-006 - TH Conference Room (CERN)

It has been long known that intersection theory on the moduli space of punctured Riemann surfaces encodes observables in two-dimensional quantum gravity. It is natural to ask whether interacting theories could also admit a similar description. In the genus-zero case we put forward a twisted version of intersection theory on the moduli space and propose that it computes tree-level scattering amplitudes in a range of quantum field theories in general space-time dimension. After outlining their universal properties and relations to the low-energy limit of string theory amplitudes, we present recursion relations for intersection numbers on the natural fibration of moduli spaces.