60 citations · 150 across the 11 of their papers we have counts for
14 papers
Flat connections on moduli spaces I: Local (1,0)-extension of the DHS connection
Eric D'Hoker, Benjamin Enriquez, Oliver Schlotterer +1
The flat DHS connection constructed in arXiv:2602.01461 is smooth on the configuration space of points on a fixed compact Riemann surface of arb…
Relating flat connections and polylogarithms on higher genus Riemann surfaces
Eric D'Hoker, Benjamin Enriquez, Oliver Schlotterer +1
In this work, we relate two recent constructions that generalize classical (genus-zero) polylogarithms to higher-genus Riemann surfaces. A flat connection valued in a freely genera…
Closed-string amplitude recursions from the Deligne associator
Konstantin Baune, Johannes Broedel, Federico Zerbini
Inspired by earlier results on recursions for open-string tree-level amplitudes, and by a result of Brown and Dupont relating open- and closed-string tree-level amplitudes via sing…
Schottky-Kronecker forms and hyperelliptic polylogarithms
Konstantin Baune, Johannes Broedel, Egor Im +2
Elliptic polylogarithms can be defined as iterated integrals on a genus-one Riemann surface of a set of integration kernels whose generating series was already considered by Kronec…
Elliptic hyperlogarithms
Benjamin Enriquez, Federico Zerbini
Let be a complex elliptic curve and be a non-empty finite subset of . We show that the functions introduced in arXiv:1712.07089 out of string…
Analogues of hyperlogarithm functions on affine complex curves
Benjamin Enriquez, Federico Zerbini
For a smooth affine complex curve, there is a unique minimal subalgebra of the algebra of holomorphic functions on its universal cover $\tild…
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…
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…
Single-valued multiple zeta values in genus 1 superstring amplitudes
Federico Zerbini
We study the modular graph functions introduced by Green, Russo, Vanhove in the context of type II superstring scattering amplitudes of 4 gravitons on a torus. In particular we des…