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  Towards closed strings as single-valued open strings at genus one

Gerken, J. E., Kleinschmidt, A., Mafra, C. R., Schlotterer, O., & Verbeek, B. (2022). Towards closed strings as single-valued open strings at genus one. Journal of Physics A, 55(2): 025401. doi:10.1088/1751-8121/abe58b.

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 Creators:
Gerken, Jan E.1, Author              
Kleinschmidt, Axel2, Author              
Mafra, Carlos R.1, Author              
Schlotterer, Oliver2, Author              
Verbeek , Bram, Author
Affiliations:
1Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              
2Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society, ou_24014              

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Free keywords: High Energy Physics - Theory, hep-th,Mathematics, Number Theory, math.NT
 Abstract: 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 in the open-string case and non-holomorphic modular forms dubbed "modular graph forms" 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 elliptic multiple zeta values of open strings to the modular graph forms 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 multiple zeta values seen in tree-level relations between the open and closed string.

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 Dates: 2020-10-202020-11-052022
 Publication Status: Published in print
 Pages: 61 pages, 4 figures; v2: new subsection 5.7 and minor improvements in various places
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 Identifiers: arXiv: 2010.10558
DOI: 10.1088/1751-8121/abe58b
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Title: Journal of Physics A
Source Genre: Journal
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Pages: - Volume / Issue: 55 (2) Sequence Number: 025401 Start / End Page: - Identifier: -