232 citations · 3.9k across the 80 of their papers we have counts for
8 papers · 1 filter
Elliptic modular graph forms I: Identities and generating series
Eric D'Hoker, Axel Kleinschmidt, Oliver Schlotterer
Elliptic modular graph functions and forms (eMGFs) are defined for arbitrary graphs as natural generalizations of modular graph functions and forms obtained by including the charac…
Towards closed strings as single-valued open strings at genus one
Jan E. Gerken, Axel Kleinschmidt, Carlos R. Mafra +2
We relate the low-energy expansions of world-sheet integrals in genus-one amplitudes of open- and closed-string states. The respective expansion coefficients are elliptic multiple…
Identities among higher genus modular graph tensors
Eric D'Hoker, Oliver Schlotterer
Higher genus modular graph tensors map Feynman graphs to functions on the Torelli space of genus- compact Riemann surfaces which transform as tensors under the modular group $Sp…
Two dialects for KZB equations: generating one-loop open-string integrals
Johannes Broedel, André Kaderli, Oliver Schlotterer
Two different constructions generating the low-energy expansion of genus-one configuration-space integrals appearing in one-loop open-string amplitudes have been put forward in \rc…
Two-loop superstring five-point amplitudes II: Low energy expansion and S-duality
Eric D'Hoker, Carlos R. Mafra, Boris Pioline +1
In an earlier paper, we constructed the genus-two amplitudes for five external massless states in Type II and Heterotic string theory, and showed that the alpha' expansion of the T…
Two-loop superstring five-point amplitudes I: Construction via chiral splitting and pure spinors
Eric D'Hoker, Carlos R. Mafra, Boris Pioline +1
The full two-loop amplitudes for five massless states in Type~II and Heterotic superstrings are constructed in terms of convergent integrals over the genus-two moduli space of comp…