Genus-zero and genus-one string amplitudes and special multiple zeta values
Number Theory
2020-04-30 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
In this paper we show that in perturbative string theory the genus-one contribution to formal 2-point amplitudes can be related to the genus-zero contribution to 4-point amplitudes. This is achieved by studying special linear combinations of multiple zeta values that appear as coefficients of the amplitudes. We also exploit our results to relate closed strings to open strings at genus one using Brown's single-valued projection, proving a conjecture of Broedel, Schlotterer and the second author.
Cite
@article{arxiv.1906.12339,
title = {Genus-zero and genus-one string amplitudes and special multiple zeta values},
author = {Don Zagier and Federico Zerbini},
journal= {arXiv preprint arXiv:1906.12339},
year = {2020}
}
Comments
V2: minor typos corrected, 24 pages, essentially coincides with published version