Lecture 2: A Twistor Formula for the Tree-Level Gravity S-Matrix
This lecture will obtain a compact twistor formula for the full tree-level gravitational S-matrix beyond the self-dual sector. It uses an extension of the complex geometry of twistor space of the previous lecture. In the final formula, all integrations are saturated against delta functions yielding a sum of residues. These depend on the n momenta and polarization vectors of associated gravity linear waves.
Supported by the "2021 Balzan Prize for Gravitation: Physical and Astrophysical Aspects", awarded to Thibault Damour