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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Sum total of downloads: 35




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Abstract: 
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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1 image of flag of Germany Germany 30 85.71%
2 image of flag of No geo information available No geo information available 2 5.71%
3 image of flag of Japan Japan 1 2.86%
4 image of flag of Switzerland Switzerland 1 2.86%
5 image of flag of Belgium Belgium 1 2.86%

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