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  Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes

Broedel, J., Matthes, N., Richter, G., & Schlotterer, O. (2018). Twisted elliptic multiple zeta values and non-planar one-loop open-string amplitudes. Journal of Physics A: Mathematical and Theoretical, 51(28): 285401. doi:10.1088/1751-8121/aac601.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002D-46CF-9 Version Permalink: http://hdl.handle.net/21.11116/0000-0002-E8E5-6
Genre: Journal Article

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 Creators:
Broedel, Johannes, Author
Matthes, Nils, Author
Richter, Gregor1, Author
Schlotterer, Oliver1, Author              
Affiliations:
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: We consider a generalization of elliptic multiple zeta values, which we call twisted elliptic multiple zeta values. These arise as iterated integrals on an elliptic curve from which a rational lattice has been removed. At the cusp, twisted elliptic multiple zeta values are shown to degenerate to cyclotomic multiple zeta values in the same way as elliptic multiple zeta values degenerate to classical multiple zeta values. We investigate properties of twisted elliptic multiple zeta values and consider them in the context of the non-planar part of the four-point one-loop open-string amplitude.

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 Dates: 2017-04-112018
 Publication Status: Published in print
 Pages: 28
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1704.03449
URI: http://arxiv.org/abs/1704.03449
DOI: 10.1088/1751-8121/aac601
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Title: Journal of Physics A: Mathematical and Theoretical
Source Genre: Journal
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Pages: - Volume / Issue: 51 (28) Sequence Number: 285401 Start / End Page: - Identifier: -