Single-valued multiple zeta values in genus 1 superstring amplitudes
High Energy Physics - Theory
2017-04-12 v2 Number Theory
Abstract
We study the modular graph functions introduced by Green, Russo, Vanhove in the context of type II superstring scattering amplitudes of 4 gravitons on a torus. In particular we describe a method to algorithmically compute the coefficients in their expansion at the cusp in terms of conical sums. We perform explicit computations for 3-graviton functions, which naturally suggest to conjecture that only single-valued multiple zeta values appear.
Keywords
Cite
@article{arxiv.1512.05689,
title = {Single-valued multiple zeta values in genus 1 superstring amplitudes},
author = {Federico Zerbini},
journal= {arXiv preprint arXiv:1512.05689},
year = {2017}
}
Comments
Minor modifications and references added to the first version. It essentially coincides with the published version