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

Johannes Broedel (1, 2) , Oliver Schlotterer (2, 3) , Federico Zerbini (4)

1 IRIS Adlershof, Berlin, Germany
2 KITP - Kavli Institute for Theoretical Physics [Santa Barbara]
3 AEI - Max-Planck-Institut für Gravitationsphysik ( Albert-Einstein-Institut )
4 IPHT - Institut de Physique Théorique - UMR CNRS 3681

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.

Keywords: High Energy Physics - Theory (hep-th); Number Theory (math.NT)

Domains: Physics [physics]

Johannes Broedel, Oliver Schlotterer, Federico Zerbini. From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop. 2018. ⟨cea-01729196⟩