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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. (author)
Towards closed strings as single-valued open strings at genus one
- Article/chapterEnglish2022
Publisher, publication year, extent ...
- 2021-12-21
- IOP Publishing,2022
- electronicrdacarrier
Numbers
- LIBRIS-ID:oai:research.chalmers.se:29d20c3d-5673-44fb-b724-dea71a36183b
- https://doi.org/10.1088/1751-8121/abe58bDOI
- https://research.chalmers.se/publication/527961URI
- https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-463538URI
Supplementary language notes
- Language:English
- Summary in:English
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Notes
- 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.
Subject headings and genre
- NATURVETENSKAP Matematik Algebra och logik hsv//swe
- NATURAL SCIENCES Mathematics Algebra and Logic hsv//eng
- NATURVETENSKAP Matematik Geometri hsv//swe
- NATURAL SCIENCES Mathematics Geometry hsv//eng
- NATURVETENSKAP Matematik Matematisk analys hsv//swe
- NATURAL SCIENCES Mathematics Mathematical Analysis hsv//eng
- NATURVETENSKAP Fysik Subatomär fysik hsv//swe
- NATURAL SCIENCES Physical Sciences Subatomic Physics hsv//eng
- elliptic integrals
- string amplitudes
- modular forms
Added entries (persons, corporate bodies, meetings, titles ...)
- 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. (author)
- Mafra, Carlos R.University of Southampton,Univ Southampton, STAG Res Ctr & Math Sci, Southampton SO17 1BJ, Hants, England. (author)
- Schlotterer, OliverUppsala universitet,Teoretisk fysik(Swepub:uu)olisc149 (author)
- Verbeek, BramUppsala universitet,Teoretisk fysik(Swepub:uu)brave555 (author)
- Göteborgs universitetChalmers tekniska högskola (creator_code:org_t)
Related titles
- In:Journal of Physics A: Mathematical and Theoretical: IOP Publishing55:21751-81211751-8113
Internet link
- https://research.chalmers.se/publication/527961/file/527961_Fulltext.pdfFULLTEXT
- https://research.chalmers.se/publication/527961/file/527961_Fulltext.pdf
- https://doi.org/10.1088/1751-8121/abe58bFulltext
- https://uu.diva-portal.org/smash/get/diva2:1628006/FULLTEXT01.pdffulltext:print
- https://doi.org/10.1088/1751-8121/abe58b
- https://research.chalmers.se/publication/527961
- https://urn.kb.se/resolve?urn=urn:nbn:se:uu:diva-463538
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- NATURAL SCIENCES
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