From elliptic multiple zeta values to modular graph functions: open and closed 
strings at one loop

Broedel, Johannes; Schlotterer, Oliver; Zerbini, Federico

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From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop

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Schlotterer, Oliver
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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Broedel, J., Schlotterer, O., & Zerbini, F. (in preparation). From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop.

Cite as: https://hdl.handle.net/21.11116/0000-0000-F4B4-1

Abstract

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 integration over closed-string punctures are observed to follow from symmetrized open-string integrals through a tentative generalization of the single-valued projection known from genus zero.