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Single-valued hyperlogarithms, correlation functions and closed string amplitudes

Single-valued hyperlogarithms, correlation functions and closed string amplitudes

We give new proofs of a global and a local property of the integrals which compute closed string theory amplitudes at genus zero. Both kinds of properties are related to the newborn theory of single-valued periods, and our proofs provide an intuitive understanding of this relation. The global property, known …