Modular and holomorphic graph function from superstring amplitudes
Mathematical Physics
2018-07-13 v1 High Energy Physics - Theory
math.MP
Number Theory
Abstract
We compare two classes of functions arising from genus-one superstring amplitudes: modular and holomorphic graph functions. We focus on their analytic properties, we recall the known asymptotic behaviour of modular graph functions and we refine the formula for the asymptotic behaviour of holomorphic graph functions. Moreover, we give new evidence of a conjecture which relates these two asymptotic expansions.
Keywords
Cite
@article{arxiv.1807.04506,
title = {Modular and holomorphic graph function from superstring amplitudes},
author = {Federico Zerbini},
journal= {arXiv preprint arXiv:1807.04506},
year = {2018}
}
Comments
26 Pages. Based on a talk given at the conference "Elliptic integrals, elliptic functions and modular forms in quantum field theory" held at DESY-Zeuthen in October 2017