Publication
Handling handles. Part II. Stratification and data analysis
| Summary: | 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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| Main Authors: | Bargheer, T. |
| Other Authors: | Caetano, J.; Fleury, T.; Komatsu, S.; Vieira, P. |
| Subject: | 1/N Expansion AdS-CFT Correspondence Integrable Field Theories Supersymmetric Gauge Theory |
| Year: | 2019 |
| Country: | Brazil |
| Document type: | article |
| Access type: | open access |
| Associated institution: | IBICT |
| Language: | English |
| Origin: | Oasisbr |
| Summary: | 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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