English

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

High Energy Physics - Theory 2019-03-05 v2 Number Theory

Abstract

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.

Keywords

Cite

@article{arxiv.1803.00527,
  title  = {From elliptic multiple zeta values to modular graph functions: open and closed strings at one loop},
  author = {Johannes Broedel and Oliver Schlotterer and Federico Zerbini},
  journal= {arXiv preprint arXiv:1803.00527},
  year   = {2019}
}

Comments

48+15 pages, v2: replaced with published version

R2 v1 2026-06-23T00:38:31.427Z