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Towards closed stri...
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Gerken, Jan,1991Göteborgs universitet,University of Gothenburg,Chalmers tekniska högskola,Chalmers University of Technology,Chalmers Univ Technol, Dept Math Sci, S-41296 Gothenburg, Sweden.;Max Planck Inst Gravitat Phys, Albert Einstein Inst, Muhlenberg 1, DE-14476 Potsdam, Germany.
(författare)
Towards closed strings as single-valued open strings at genus one
- Artikel/kapitelEngelska2022
Förlag, utgivningsår, omfång ...
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2021-12-21
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IOP Publishing,2022
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electronicrdacarrier
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LIBRIS-ID:oai:research.chalmers.se:29d20c3d-5673-44fb-b724-dea71a36183b
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https://doi.org/10.1088/1751-8121/abe58bDOI
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https://research.chalmers.se/publication/527961URI
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https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-463538URI
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Språk:engelska
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Sammanfattning på:engelska
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We relate the low-energy expansions of world-sheet integrals in genus-one amplitudes of open- and closed-string states. The respective expansion coefficients are elliptic multiple zeta values (eMZVs) in the open-string case and non-holomorphic modular forms dubbed 'modular graph forms (MGFs)' for closed strings. By inspecting the differential equations and degeneration limits of suitable generating series of genus-one integrals, we identify formal substitution rules mapping the eMZVs of open strings to the MGFs of closed strings. Based on the properties of these rules, we refer to them as an elliptic single-valued map which generalizes the genus-zero notion of a single-valued map acting on MZVs seen in tree-level relations between the open and closed string.
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Kleinschmidt, AxelMax Planck Gesellschaft zur Förderung der Wissenschaften e.V. (MPG),Max Planck Society for the Advancement of Science (MPG),Université libre de Bruxelles (ULB),Max Planck Inst Gravitat Phys, Albert Einstein Inst, Muhlenberg 1, DE-14476 Potsdam, Germany.;ULB, Int Solvay Inst, Campus Plaine CP231, BE-1050 Brussels, Belgium.
(författare)
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Mafra, Carlos R.University of Southampton,Univ Southampton, STAG Res Ctr & Math Sci, Southampton SO17 1BJ, Hants, England.
(författare)
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Schlotterer, OliverUppsala universitet,Teoretisk fysik(Swepub:uu)olisc149
(författare)
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Verbeek, BramUppsala universitet,Teoretisk fysik(Swepub:uu)brave555
(författare)
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Göteborgs universitetChalmers tekniska högskola
(creator_code:org_t)
Sammanhörande titlar
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Ingår i:Journal of Physics A: Mathematical and Theoretical: IOP Publishing55:21751-81211751-8113
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