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SUMMARY:Single-valued and modular iterated Eisenstein integrals in string 
 theory - Bram Verbeek (Uppsala Universitet)
DTSTART:20220823T101500Z
DTEND:20220823T111500Z
UID:TALK177212@talks.cam.ac.uk
DESCRIPTION:It is well known that closed-string scattering at genus zero i
 s related to open string scattering by the single-valued map of multiple z
 eta values (MZVs). In this sense\, the so-called single-valued MZVs natura
 lly occur in string theory. At higher genus an analogous connection betwee
 n the open - and the closed string remains more tentative. In this talk\, 
 I will discuss recent work which aims to define such a mapping from open t
 o closed strings at genus one\, driven by the study of generating function
 s of string integrals. The low-energy expansions of the respective configu
 ration-space integrals feature elliptic multiple zeta values for the open 
 string and modular graph forms for the closed string. Paying particular at
 tention to the resulting functions in the closed string context\, I will d
 iscuss their connection to the single-valued and modular iterated Eisenste
 in integrals introduced in the mathematical literature. This connection in
 dicates that said mapping defined for string scattering at genus one is ag
 ain closely related to the concept of single-valuedness.\n&nbsp\;\nCo-auth
 ors: Jan Gerken (Chalmers U. Tech.)\, Axel Kleinschmidt (Max Planck Inst.\
 , Potsdam & Intl. Solvay Inst.\, Brussels)\, Carlos Mafra (Southampton U.)
 \, Oliver Schlotterer (Uppsala U.)\, Daniele Dorigoni (Durham U.)\, Mehreg
 an Doroudiani (Max Planck Inst.\, Potsdam)\, Joshua Drewitt (Nottingham U.
 )\, Martijn Hidding (Uppsala U.)\, Nils Matthes (Copenhagen U.)
LOCATION:Seminar Room 1\, Newton Institute
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