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arxiv: 1803.00527 · v2 · pith:ECULTRUDnew · submitted 2018-03-01 · ✦ hep-th · math.NT

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

classification ✦ hep-th math.NT
keywords closed-stringfunctionsgraphmodularamplitudesclosedellipticexpansion
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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.

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