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One-Loop StringScatteringAmplitudes as Iterated Eisenstein Integrals

  • Johannes Broedel
  • Oliver SchlottererEmail author
Chapter
First Online:
Part of the Texts & Monographs in Symbolic Computation book series (TEXTSMONOGR)

Abstract

In these proceedings we review and expand on the recent appearance of iterated integrals on an elliptic curve in string perturbation theory. We represent the low-energy expansion of one-loop open-string amplitudes at multiplicity four and five as iterated integrals over holomorphic Eisenstein series. The framework of elliptic multiple zeta values serves as a link between the punctured Riemann surfaces encoding string interactions and the iterated Eisenstein integrals in the final results. In the five-point setup, the treatment of kinematic poles is discussed explicitly.

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Notes

Acknowledgements

We would like to thank KMPB for supporting the conference “Elliptic Integrals, Elliptic Functions and Modular Forms Quantum Field Theory”. The research of OS was supported in part by Perimeter Institute for Theoretical Physics. Research at Perimeter Institute is supported by the Government of Canada through the Department of Innovation, Science and Economic Development Canada and by the Province of Ontario through the Ministry of Research, Innovation and Science.

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© Springer Nature Switzerland AG 2019

Authors and Affiliations

  1. 1.Institut für Mathematik und Institut für PhysikHumboldt-Universität zu Berlin IRIS AdlershofBerlinGermany
  2. 2.Max-Planck-Institut für GravitationsphysikAlbert-Einstein-InstitutPotsdamGermany
  3. 3.Perimeter Institute for Theoretical PhysicsWaterlooCanada

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