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Towards closed stri...
Towards closed strings as single-valued open strings at genus one
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- Gerken, Jan, 1991 (författare)
- Gothenburg University,Göteborgs universitet,Institutionen för matematiska vetenskaper, Algebra och geometri,Department of Mathematical Sciences, Algebra and Geometry,Chalmers Univ Technol, Dept Math Sci, S-41296 Gothenburg, Sweden.;Max Planck Inst Gravitat Phys, Albert Einstein Inst, Muhlenberg 1, DE-14476 Potsdam, Germany.
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- Kleinschmidt, Axel (författare)
- Max 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.
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- Mafra, Carlos R. (författare)
- University of Southampton,Univ Southampton, STAG Res Ctr & Math Sci, Southampton SO17 1BJ, Hants, England.
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- Schlotterer, Oliver (författare)
- Uppsala universitet,Teoretisk fysik
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- Verbeek, Bram (författare)
- Uppsala universitet,Teoretisk fysik
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(creator_code:org_t)
- 2021-12-21
- 2022
- Engelska.
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Ingår i: Journal of Physics A: Mathematical and Theoretical. - : IOP Publishing. - 1751-8121 .- 1751-8113. ; 55:2
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- 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)
Nyckelord
- elliptic integrals
- string amplitudes
- modular forms
- elliptic integrals
- modular forms
- string amplitudes
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- ref (ämneskategori)
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