Handling Handles. Part II. Stratification and Data Analysis T. Bargheera,b,c, J. Caetanod, T. Fleuryd,e, S. Komatsuf , P. Vieirag,h aInstitut für Theoretische Physik, Leibniz Universität Hannover, Appelstraße 2, 30167 Hannover, Germany bDESY Theory Group, DESY Hamburg, Notkestraße 85, D-22603 Hamburg, Germany cKavli Institute for Theoretical Physics, University of California Santa Barbara, CA 93106, USA dLaboratoire de Physique Théorique de l’École Normale Supérieure de Paris, CNRS, ENS & PSL Research University, UPMC & Sorbonne Universités, 75005 Paris, France. eInternational Institute of Physics, Universidade Federal do Rio Grande do Norte, Campus Universitario, Lagoa Nova, Natal-RN 59078-970, Brazil f School of Natural Sciences, Institute for Advanced Study, Einstein Drive, Princeton, NJ 08540, USA gPerimeter Institute for Theoretical Physics, 31 Caroline St N Waterloo, Ontario N2L 2Y5, Canada hInstituto de Física Teórica, UNESP - Univ. Estadual Paulista, ICTP South American Institute for Fundamental Research, Rua Dr. Bento Teobaldo Ferraz 271, 01140-070, São Paulo, SP, Brasil
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[email protected] Abstract In a previous work [1], we proposed an integrability setup for computing non-planar 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 arXiv:1809.09145v2 [hep-th] 4 Jun 2019 graphs can be interpreted as a quantization of the string moduli space integration.