The geometry of N=4 scattering amplitudes

par Cristian Vergu (ETH Z\"urich)

vendredi 13 déc. 2013, 11:00 → 12:00 Europe/Paris

Auditorium (Annecy-le-Vieux)

The scattering amplitudes in planar $N=4$ supersymmetric Yang-Mills theory can be naturally and usefully expressed in terms of variables called "momentum twistors", which parametrize a complex projective space $CP^3$. The kinematics of an n-point scattering process can be described as configurations of n points in this complex projective space $CP^3$, which has a very rich geometry. We argue that the understanding of scattering amplitudes to higher loop order needs to rely on a deeper understanding of this geometry and will describe the interplay between the transcendental polylogarithmic functions which appear in the perturbative expansion and this geometric data.

Slides talk.pdf