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Handling Handles. Part II. Stratification and Data Analysis
- Source :
- J. High Energ. Phys. (2018) 2018: 95
- Publication Year :
- 2018
-
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.<br />Comment: 99 pages, 261 figures, comments welcome; v2: minor improvements, updated references (published version)
- Subjects :
- High Energy Physics - Theory
Subjects
Details
- Database :
- arXiv
- Journal :
- J. High Energ. Phys. (2018) 2018: 95
- Publication Type :
- Report
- Accession number :
- edsarx.1809.09145
- Document Type :
- Working Paper
- Full Text :
- https://doi.org/10.1007/JHEP11(2018)095