Handling handles. Part II. Stratification and data analysis

• Autor(a) principal: Bargheer, T.
• Data de Publicação: 2018
• Outros Autores: Caetano, J., Fleury, T., Komatsu, S., Vieira, P. [UNESP]
• Tipo de documento: Artigo
• Idioma: eng
• Título da fonte: Repositório Institucional da UNESP
• Texto Completo: http://dx.doi.org/10.1007/JHEP11(2018)095; http://hdl.handle.net/11449/188423
• topic: 1/N Expansion; AdS-CFT Correspondence; Integrable Field Theories; Supersymmetric Gauge Theory

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.