42 citations · 84 across the 3 of their papers we have counts for
5 papers
Modular Graph Forms and Scattering Amplitudes in String Theory
Jan E. Gerken
In this thesis, we investigate the low-energy expansion of scattering amplitudes of closed strings at one-loop level (i.e. at genus one) in a ten-dimensional Minkowski background u…
Generating series of all modular graph forms from iterated Eisenstein integrals
Jan E. Gerken, Axel Kleinschmidt, Oliver Schlotterer
We study generating series of torus integrals that contain all so-called modular graph forms relevant for massless one-loop closed-string amplitudes. By analysing the differential…
All-order differential equations for one-loop closed-string integrals and modular graph forms
Jan E. Gerken, Axel Kleinschmidt, Oliver Schlotterer
We investigate generating functions for the integrals over world-sheet tori appearing in closed-string one-loop amplitudes of bosonic, heterotic and type-II theories. These closed-…
Heterotic-string amplitudes at one loop: modular graph forms and relations to open strings
Jan E. Gerken, Axel Kleinschmidt, Oliver Schlotterer
We investigate one-loop four-point scattering of non-abelian gauge bosons in heterotic string theory and identify new connections with the corresponding open-string amplitude. In t…
Holomorphic subgraph reduction of higher-point modular graph forms
Jan E. Gerken, Justin Kaidi
Modular graph forms are a class of modular covariant functions which appear in the genus-one contribution to the low-energy expansion of closed string scattering amplitudes. Modula…