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• W2895944059 abstract "We study open and closed string amplitudes at tree-level in string perturbation theory using the methods of single-valued integration which were developed in the prequel to this paper. Using dihedral coordinates on the moduli spaces of curves of genus zero with marked points, we define a canonical regularisation of both open and closed string perturbation amplitudes at tree level, and deduce that they admit a Laurent expansion in Mandelstam variables whose coefficients are multiple zeta values (resp. single-valued multiple zeta values). Furthermore, we prove the existence of a motivic Laurent expansion whose image under the period map is the open string expansion, and whose image under the single-valued period map is the closed string expansion. This proves the recent conjecture of Stieberger that closed string amplitudes are the single-valued projections of (motivic lifts of) open string amplitudes. Finally, applying a variant of the single-valued formalism for cohomology with coefficients yields the KLT formula expressing closed string amplitudes as quadratic expressions in open string amplitudes." @default.
• W2895944059 created "2018-10-26" @default.
• W2895944059 creator A5045471022 @default.
• W2895944059 creator A5057969937 @default.
• W2895944059 date "2019-10-02" @default.
• W2895944059 modified "2023-09-25" @default.
• W2895944059 title "Single-valued integration and superstring amplitudes in genus zero" @default.
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