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  Motivic Multiple Zeta Values and Superstring Amplitudes

Schlotterer, O., & Stieberger, S. (2013). Motivic Multiple Zeta Values and Superstring Amplitudes. Journal of Physics A: Mathematical and Theoretical, 46(47): 475401. doi:10.1088/1751-8113/46/47/475401.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-000F-A056-6 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-0014-F6F7-5
Genre: Journal Article

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1205.1516 (Preprint), 375KB
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 Creators:
Schlotterer, O.1, Author              
Stieberger, S., 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,High Energy Physics - Phenomenology, hep-ph,Mathematics, Number Theory, math.NT
 Abstract: The structure of tree-level open and closed superstring amplitudes is analyzed. For the open superstring amplitude we find a striking and elegant form, which allows to disentangle its alpha'-expansion into several contributions accounting for different classes of multiple zeta values. This form is bolstered by the decomposition of motivic multiple zeta values, i.e. the latter encapsulate the alpha'-expansion of the superstring amplitude. Moreover, a morphism induced by the coproduct maps the alpha'-expansion onto a non-commutative Hopf algebra. This map represents a generalization of the symbol of a transcendental function. In terms of elements of this Hopf algebra the alpha'-expansion assumes a very simple and symmetric form, which carries all the relevant information. Equipped with these results we can also cast the closed superstring amplitude into a very elegant form.

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 Dates: 2012-05-072013
 Publication Status: Published in print
 Pages: 54 pages, harvmac
 Publishing info: -
 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1205.1516
DOI: 10.1088/1751-8113/46/47/475401
 Degree: -

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Title: Journal of Physics A: Mathematical and Theoretical
Source Genre: Journal
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Publ. Info: London? : IOP Pub.
Pages: - Volume / Issue: 46 (47) Sequence Number: 475401 Start / End Page: - Identifier: ISSN: 1751-8113
CoNE: /journals/resource/954925513480_2