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Statut |
Confirmé |
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Série |
RENC-THEO |
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Domaines |
hep-th |
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Date |
Jeudi 6 Janvier 2022 |
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Heure |
11:45 |
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Institut |
IHP |
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Salle |
314 |
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Nom de l'orateur |
Schlotterer |
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Prenom de l'orateur |
Oliver |
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Addresse email de l'orateur |
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Institution de l'orateur |
Uppsala U. |
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Titre |
Modular graph forms and iterated integrals in string amplitudes |
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Résumé |
I will give an overview of the classes of functions or periods arising in the
configuration-space integrals of
string amplitudes. At genus one, open strings naturally realize elliptic
polylogarithms and elliptic multiple zeta
values while the integrals over torus worldsheets in closed-string amplitudes
feature non-holomorphic
modular forms. The latter are known as (elliptic) modular graph forms, and I will
introduce canonical
representations via iterated integrals over holomorphic modular forms and their
complex conjugates. Elliptic
modular graph forms can be viewed as generalizations of Zagier’s single-valued
elliptic polylogarithms
beyond depth one. |
|
Numéro de preprint arXiv |
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Commentaires |
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Fichiers attachés |
- Paris2022_OS.pdf (5357773 bytes)
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