Publicação: Handling handles. Part II. Stratification and data analysis
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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.
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1/N Expansion, AdS-CFT Correspondence, Integrable Field Theories, Supersymmetric Gauge Theory
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Journal of High Energy Physics, v. 2018, n. 11, 2018.
