Modular graph forms from equivariant iterated Eisenstein integrals
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Modular graph forms from equivariant iterated Eisenstein integrals. / Dorigoni, Daniele; Doroudiani, Mehregan; Drewitt, Joshua; Hidding, Martijn; Kleinschmidt, Axel; Matthes, Nils; Schlotterer, Oliver; Verbeek, Bram.
I: Journal of High Energy Physics, Bind 2022, Nr. 12, 162, 2022.Publikation: Bidrag til tidsskrift › Tidsskriftartikel › Forskning › fagfællebedømt
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TY - JOUR
T1 - Modular graph forms from equivariant iterated Eisenstein integrals
AU - Dorigoni, Daniele
AU - Doroudiani, Mehregan
AU - Drewitt, Joshua
AU - Hidding, Martijn
AU - Kleinschmidt, Axel
AU - Matthes, Nils
AU - Schlotterer, Oliver
AU - Verbeek, Bram
N1 - Publisher Copyright: © 2022, The Author(s).
PY - 2022
Y1 - 2022
N2 - 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.
AB - 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.
KW - Differential and Algebraic Geometry
KW - Superstrings and Heterotic Strings
UR - http://www.scopus.com/inward/record.url?scp=85145361768&partnerID=8YFLogxK
U2 - 10.1007/JHEP12(2022)162
DO - 10.1007/JHEP12(2022)162
M3 - Journal article
AN - SCOPUS:85145361768
VL - 2022
JO - Journal of High Energy Physics (Online)
JF - Journal of High Energy Physics (Online)
SN - 1126-6708
IS - 12
M1 - 162
ER -
ID: 332036809