5 citations · 5 across the 1 of their papers we have counts for
6 papers
Construction of Maurer-Cartan elements over configuration spaces of curves
Benjamin Enriquez, Federico Zerbini
For a complex curve and , a pair of a principal bundle with meromorphic flat connection over , holomorphic over…
Building blocks of closed and open string amplitudes
Pierre Vanhove, Federico Zerbini
In this text we review various relations between building blocks of closed and open string amplitudes at tree-level and genus one. We explain that KLT relations between tree-level…
Genus-zero and genus-one string amplitudes and special multiple zeta values
Don Zagier, Federico Zerbini
In this paper we show that in perturbative string theory the genus-one contribution to formal 2-point amplitudes can be related to the genus-zero contribution to 4-point amplitudes…
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…