Dr Daniele Dorigoni daniele.dorigoni@durham.ac.uk
Associate Professor
Dr Daniele Dorigoni daniele.dorigoni@durham.ac.uk
Associate Professor
Mehregan Doroudiani
Joshua Drewitt
Martijn Hidding
Axel Kleinschmidt
Nils Matthes
Oliver Schlotterer
Bram Verbeek
The low-energy expansion of closed-string scattering amplitudes at genus one introduces infinite families of non-holomorphic modular forms called modular graph forms. Their differential and number-theoretic properties motivated Brown’s alternative construction of non-holomorphic modular forms in the recent mathematics literature from so-called equivariant iterated Eisenstein integrals. In this work, we provide the first validations beyond depth one of Brown’s conjecture that equivariant iterated Eisenstein integrals contain modular graph forms. Apart from a variety of examples at depth two and three, we spell out the systematics of the dictionary and make certain elements of Brown’s construction fully explicit to all orders.
Dorigoni, D., Doroudiani, M., Drewitt, J., Hidding, M., Kleinschmidt, A., Matthes, N., …Verbeek, B. (2022). Modular graph forms from equivariant iterated Eisenstein integrals. Journal of High Energy Physics, 2022(12), Article 162. https://doi.org/10.1007/jhep12%282022%29162
Journal Article Type | Article |
---|---|
Acceptance Date | Dec 1, 2022 |
Online Publication Date | Dec 28, 2022 |
Publication Date | 2022 |
Deposit Date | Jan 23, 2023 |
Publicly Available Date | Oct 3, 2023 |
Journal | Journal of High Energy Physics |
Print ISSN | 1126-6708 |
Publisher | Scuola Internazionale Superiore di Studi Avanzati (SISSA) |
Peer Reviewed | Peer Reviewed |
Volume | 2022 |
Issue | 12 |
Article Number | 162 |
DOI | https://doi.org/10.1007/jhep12%282022%29162 |
Public URL | https://durham-repository.worktribe.com/output/1182352 |
Published Journal Article
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