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Modular graph forms from equivariant iterated Eisenstein integrals
- Publication Year :
- 2022
-
Abstract
- 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.<br />Comment: 45 pages; submission includes ancillary data files; v2: typos corrected / minor improvements, matches published version
- Subjects :
- High Energy Physics - Theory
Mathematics - Number Theory
Subjects
Details
- Database :
- arXiv
- Publication Type :
- Report
- Accession number :
- edsarx.2209.06772
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/JHEP12(2022)162