Elliptic multiple zeta values, modular graph functions and genus 1 superstring 
scattering amplitudes

Zerbini, Federico

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Elliptic multiple zeta values, modular graph functions and genus 1 superstring scattering amplitudes

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Zerbini, Federico
Max Planck Institute for Mathematics, Max Planck Society;

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https://hdl.handle.net/20.500.11811/7514
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Zerbini, F. (2018). Elliptic multiple zeta values, modular graph functions and genus 1 superstring scattering amplitudes. PhD Thesis, Rheinische Friedrich-Wilhelms-Universität Bonn, Bonn.

Cite as: https://hdl.handle.net/21.11116/0000-0004-0641-C

Abstract

We study holomorphic and non-holomorphic elliptic analogues of multiple zeta values, namely elliptic multiple zeta values and modular graph functions. Both classes of functions have been discovered very recently, and are involved in the computation of genus one superstring amplitudes. In particular, we obtain new results on the asymptotic expansion of these functions that allow us to perform explicit computations and point out analogies between genus zero and genus one amplitudes.