60 citations · 150 across the 11 of their papers we have counts for
4 papers · 1 filter
Single-valued hyperlogarithms, correlation functions and closed string amplitudes
Pierre Vanhove, Federico Zerbini
We give new proofs of a global and a local property of the integrals which compute closed string theory amplitudes at genus zero. Both kinds of properties are related to the newbor…
Modular and holomorphic graph function from superstring amplitudes
Federico Zerbini
We compare two classes of functions arising from genus-one superstring amplitudes: modular and holomorphic graph functions. We focus on their analytic properties, we recall the kno…
Elliptic multiple zeta values, modular graph functions and genus 1 superstring scattering amplitudes
Federico Zerbini
In this PhD thesis we study holomorphic and non-holomorphic elliptic analogues of multiple zeta values, namely elliptic multiple zeta values and modular graph functions. Both class…
From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop
Johannes Broedel, Oliver Schlotterer, Federico Zerbini
We relate one-loop scattering amplitudes of massless open- and closed-string states at the level of their low-energy expansion. The modular graph functions resulting from integrati…