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  Closed strings as single-valued open strings: A genus-zero derivation

Schlotterer, O., & Schnetz, O. (2019). Closed strings as single-valued open strings: A genus-zero derivation. Journal of physics A, 52(4): 045401. doi:10.1088/1751-8121/aaea14.

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Item Permalink: http://hdl.handle.net/21.11116/0000-0001-FA37-8 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-DF4F-C
Genre: Journal Article

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1808.00713.pdf (Preprint), 316KB
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 Creators:
Schlotterer, Oliver1, Author              
Schnetz, Oliver, Author
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1Quantum 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: Based on general mathematical assumptions we give an independent, elementary proof of a theorem by Francis Brown and Cl\'ement Dupont which states that tree-level amplitudes of closed and open strings are related through the single-valued map `sv'. This relation can be traced back to the underlying moduli-space integrals over punctured Riemann surfaces of genus zero. The sphere integrals $J$ in closed-string amplitudes and the disk integrals $Z$ in open-string amplitudes are shown to obey $J = {\rm sv} \, Z$.

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 Dates: 2018-08-022019
 Publication Status: Published in print
 Pages: 18 pages
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1808.00713
URI: http://arxiv.org/abs/1808.00713
DOI: 10.1088/1751-8121/aaea14
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Title: Journal of physics A
Source Genre: Journal
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Pages: - Volume / Issue: 52 (4) Sequence Number: 045401 Start / End Page: - Identifier: -