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

2018/04/21 by Federico Zerbini, Zerbini, Federico
Mathematics · #Advanced Algebra and Geometry #Advanced Combinatorial Mathematics #Advanced Mathematical Identities #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Mathematical Physics (math-ph) #Number Theory (math.NT)

paper · pdf · doi:10.48550/arxiv.1804.07989

openalex publication_date 2018/04/21 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

In this PhD thesis 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.

Citations

• Decomposition of elliptic multiple zeta values and iterated Eisenstein integrals

Related

• Modular and holomorphic graph function from superstring amplitudes
• Towards closed strings as single-valued open strings at genus one
• Modular Graph Functions
• Non-holomorphic modular forms from zeta generators
• Modular Features of Superstring Scattering Amplitudes: Generalised Eisenstein Series and Theta Lifts