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  Tetrahedral modular graph functions

Kleinschmidt, A., & Verschinin, V. (2017). Tetrahedral modular graph functions. Journal of high energy physics: JHEP, 2017(07): 085. doi:10.1007/JHEP07(2017)085.

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Item Permalink: http://hdl.handle.net/11858/00-001M-0000-002D-7711-6 Version Permalink: http://hdl.handle.net/11858/00-001M-0000-002E-0923-2
Genre: Journal Article

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 Creators:
Kleinschmidt, Axel1, Author              
Verschinin, Valentin, 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: The low-energy expansion of one-loop amplitudes in type II string theory generates a series of world-sheet integrals whose integrands can be represented by world-sheet Feynman diagrams. These integrands are modular invariant and understanding the structure of the action of the modular Laplacian on them is important for determining their contribution to string scattering amplitudes. In this paper we study a particular infinite family of such integrands associated with three-loop scalar vacuum diagrams of tetrahedral topology and find closed forms for the action of the Laplacian. We analyse the possible eigenvalues and degeneracies of the Laplace operator by group- and representation-theoretic means.

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 Dates: 2017-06-062017
 Publication Status: Published in print
 Pages: 40 pages
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 Table of Contents: -
 Rev. Method: -
 Identifiers: arXiv: 1706.01889
URI: http://arxiv.org/abs/1706.01889
DOI: 10.1007/JHEP07(2017)085
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Title: Journal of high energy physics : JHEP
Source Genre: Journal
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Publ. Info: Bologna, Italy : Società italiana di fisica
Pages: - Volume / Issue: 2017 (07) Sequence Number: 085 Start / End Page: - Identifier: ISSN: 1126-6708
CoNE: /journals/resource/111021927548002