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  Genus-zero and genus-one string amplitudes and special multiple zeta values

Zagier, D., & Zerbini, F. (2020). Genus-zero and genus-one string amplitudes and special multiple zeta values. Communications in Number Theory and Physics, 14(2), 413-452. doi:10.4310/CNTP.2020.v14.n2.a4.

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Item Permalink: https://hdl.handle.net/21.11116/0000-0006-BC4E-0 Version Permalink: https://hdl.handle.net/21.11116/0000-000D-CAD4-0
Genre: Journal Article

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 Creators:
Zagier, Don1, Author           
Zerbini, Federico, Author
Affiliations:
1Max Planck Institute for Mathematics, Max Planck Society, ou_3029201              

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Free keywords: Mathematics, Number Theory, High Energy Physics - Theory, Mathematical Physics
 Abstract: In this paper we show that in perturbative string theory the genus-one
contribution to formal 2-point amplitudes can be related to the genus-zero
contribution to 4-point amplitudes. This is achieved by studying special linear
combinations of multiple zeta values that appear as coefficients of the
amplitudes. We also exploit our results to relate closed strings to open
strings at genus one using Brown's single-valued projection, proving a
conjecture of Broedel, Schlotterer and the second author.

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Language(s): eng - English
 Dates: 2020
 Publication Status: Issued
 Pages: 40
 Publishing info: -
 Table of Contents: -
 Rev. Type: Peer
 Identifiers: arXiv: 1906.12339
DOI: 10.4310/CNTP.2020.v14.n2.a4
 Degree: -

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Title: Communications in Number Theory and Physics
  Abbreviation : Commun. Number Theory Phys.
Source Genre: Journal
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Publ. Info: International Press
Pages: - Volume / Issue: 14 (2) Sequence Number: - Start / End Page: 413 - 452 Identifier: -