Pierre Vanhove

TL;DR: Identities based on monodromy for integrations in string theory derive relations that imply that the color-ordered tree-level n-point gauge theory amplitudes can be expanded in a minimal basis of (n-3)! amplitudes.

TL;DR: In this article, the four-graviton scattering in eleven-dimensional supergravity is considered at one loop compactified on one, two and three-dimensional tori, and the dependence on the toroidal geometry determines the known perturbative and nonperturbative terms in the corresponding processes in type II superstring theories in ten, nine and eight dimensions.

TL;DR: In this article, an explicit formula for factorizing an n-point closed string amplitude into open string amplitudes is derived in terms of a momentum kernel which in the limit of infinite string tension reduces to the corresponding field theory kernel.

TL;DR: In this paper, the authors studied the sunset graph defined as the scalar two-point self-energy at two-loop order, and gave two calculations for the sunset amplitude; one based on an interpretation of the amplitude as an inhomogeneous solution of a classical Picard-Fuchs differential equation, and the other using arithmetic algebraic geometry, motivic cohomology, and Eisenstein series.

TL;DR: The program to apply modern quantum field theory methods to calculate observables in classical general relativity through a truncation to classical terms of the multigraviton, two-body, on-shell scattering amplitudes between massive fields is outlined.