HET seminar: Pinaki Banerjee

Speaker:   Pinaki Banerjee

Title:  Stokes Polytopes and Quartic Interactions

Abstract:  I shall describe how to obtain planar scattering amplitudes of scalar massless \phi^4 theory from some particular positive geometries known as Stokes polytopes. These polytopes were introduced by Yuliy Baryshnikov in 2001. The canonical form on these Stokes polytopes contains all the information of the planar amplitudes. Properties like locality and unitarity of the amplitudes are manifest from the geometric properties of these polytopes. I shall conclude briefly mentioning some possible future directions.