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arXiv · 1809.09145

Handling Handles. Part II. Stratification and Data Analysis

Till Bargheer·Joao Caetano·Thiago Fleury·Shota Komatsu·Pedro Vieira
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Abstract

In a previous work, we proposed an integrability setup for computing non-planar corrections to correlation functions in $\mathcal{N}=4$ 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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Till Bargheer, Joao Caetano, Thiago Fleury, Shota Komatsu, Pedro Vieira. 2018-09-24. Handling Handles. Part II. Stratification and Data Analysis. https://doi.org/10.1007/jhep11(2018)095

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