Single-valued multiple zeta values in genus 1 superstring amplitudes

Federico Zerbini

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arXiv · 1512.05689

Single-valued multiple zeta values in genus 1 superstring amplitudes

Federico Zerbini

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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.

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Federico Zerbini. 2017-04-11. Single-valued multiple zeta values in genus 1 superstring amplitudes. https://arxiv.org/abs/1512.05689

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