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Generating series of all modular graph forms from iterated Eisenstein integrals

Generating series of all modular graph forms from iterated Eisenstein integrals

A bstract 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 equation of the generating series we construct a solution for their low-energy expansion to all orders in the inverse string tension α′ . Our …