Journal of High Energy Physics

, 2019:155 | Cite as

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

  • Johannes BroedelEmail author
  • Oliver Schlotterer
  • Federico Zerbini
Open Access
Regular Article - Theoretical Physics


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.


Gauge-gravity correspondence Superstrings and Heterotic Strings 


Open Access

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© The Author(s) 2019

Authors and Affiliations

  1. 1.Institut für Mathematik und Institut für PhysikHumboldt-Universität zu BerlinBerlinGermany
  2. 2.KAVLI Institute for Theoretical Physics, Kohn HallUniversity of CaliforniaSanta BarbaraU.S.A.
  3. 3.Max-Planck-Institut für GravitationsphysikAlbert-Einstein-InstitutPotsdamGermany
  4. 4.Perimeter Institute for Theoretical PhysicsWaterlooCanada
  5. 5.Institut de Physique Théorique (IPhT), CEA-SaclayGif-sur-YvetteFrance
  6. 6.Max-Planck-Institut für MathematikBonnGermany

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