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Bosonic String Amplitudes From Ribbon Graphs
Abstract
We develop a method for numerically computing higher genus CFT correlators and string amplitudes based on Kontsevich's ribbon graph parametrization of the moduli space ℳg,n of punctured Riemann surfaces. Using this method, we compute the compact boson partition function up to genus 6 as well as the moduli space integrand for bosonic string vacuum amplitudes up to genus 3. Our results pass a number of nontrivial numerical checks. In particular, the moduli space integrand of bosonic string amplitudes reproduce the Igusa cusp forms at genera 2 and 3.
Related
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BibTeX
@misc{christian2026bosonic,
title = {{Bosonic String Amplitudes From Ribbon Graphs}},
author = {Sam Christian and Ben Mazel and Yuchen Wang and Xi Yin and Yutai Zhang},
howpublished = {arXiv},
year = {2026},
month = sep,
doi = {10.48550/arxiv.2609.17660},
eprint = {2609.17660},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2609.17660},
}
RIS
TY - UNPB
TI - Bosonic String Amplitudes From Ribbon Graphs
AU - Sam Christian
AU - Ben Mazel
AU - Yuchen Wang
AU - Xi Yin
AU - Yutai Zhang
PY - 2026
DA - 2026/09/15
PB - arXiv
DO - 10.48550/arxiv.2609.17660
UR - https://arxiv.org/abs/2609.17660
AB - We develop a method for numerically computing higher genus CFT correlators and string amplitudes based on Kontsevich's ribbon graph parametrization of the moduli space ℳ_g,n of punctured Riemann surfaces. Using this method, we compute the compact boson partition function up to genus 6 as well as the moduli space integrand for bosonic string vacuum amplitudes up to genus 3. Our results pass a number of nontrivial numerical checks. In particular, the moduli space integrand of bosonic string amplitudes reproduce the Igusa cusp forms at genera 2 and 3.
ER -