English
 
Help Privacy Policy Disclaimer
  Advanced SearchBrowse

Item

ITEM ACTIONSEXPORT

Released

Journal Article

Modular graph forms from equivariant iterated Eisenstein integrals

MPS-Authors
/persons/resource/persons258466

Doroudiani,  Mehregan
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

/persons/resource/persons2677

Kleinschmidt,  Axel
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

External Resource
No external resources are shared
Fulltext (restricted access)
There are currently no full texts shared for your IP range.
Fulltext (public)

2209.06772.pdf
(Preprint), 596KB

JHEP12(2022)162.pdf
(Publisher version), 837KB

Supplementary Material (public)
There is no public supplementary material available
Citation

Dorigoni, D., Doroudiani, M., Drewitt, J., Hidding, M., Kleinschmidt, A., Matthes, N., et al. (2022). Modular graph forms from equivariant iterated Eisenstein integrals. Journal of High Energy Physics, 2022(12): 162. doi:10.1007/JHEP12(2022)162.


Cite as: https://hdl.handle.net/21.11116/0000-000B-0C8E-9
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.