Handling handles. Part II. Stratification and data analysis

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Bargheer, T.; Caetano, J.; Fleury, T.; Komatsu, S.; Vieira, P.: Handling handles. Part II. Stratification and data analysis. In: Journal of High Energy Physics (2018), Nr. 11, 95. DOI: https://doi.org/10.1007/JHEP11(2018)095

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In a previous work [1], we proposed an integrability setup for computing nonplanar corrections to correlation functions in N=4 super-Yang-Mills theory at any value of the coupling constant. The procedure consists of drawing all possible tree-level graphs on a Riemann surface of given genus, completing each graph to a triangulation, inserting a hexagon form factor into each face, and summing over a complete set of states on each edge of the triangulation. The summation over graphs can be interpreted as a quantization of the string moduli space integration. The quantization requires a careful treatment of the moduli space boundaries, which is realized by subtracting degenerate Riemann surfaces; this procedure is called stratification. In this work, we precisely formulate our proposal and perform several perturbative checks. These checks require hitherto unknown multi-particle mirror contributions at one loop, which we also compute.
License of this version: CC BY 4.0 Unported
Document Type: Article
Publishing status: publishedVersion
Issue Date: 2018
Appears in Collections:Fakultät für Mathematik und Physik

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pos. country downloads
total perc.
1 image of flag of Germany Germany 49 66.22%
2 image of flag of United States United States 12 16.22%
3 image of flag of No geo information available No geo information available 2 2.70%
4 image of flag of Czech Republic Czech Republic 2 2.70%
5 image of flag of China China 2 2.70%
6 image of flag of Russian Federation Russian Federation 1 1.35%
7 image of flag of Japan Japan 1 1.35%
8 image of flag of Iran, Islamic Republic of Iran, Islamic Republic of 1 1.35%
9 image of flag of Ireland Ireland 1 1.35%
10 image of flag of Switzerland Switzerland 1 1.35%
    other countries 2 2.70%

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