Handling Handles: Nonplanar Integrability in N=4 Supersymmetric Yang-Mills Theory

Bargheer, Till (Institut für Theoretische Physik, Leibniz Universität Hannover, Appelstraße 2, 30167 Hannover, Germany) (DESY Theory Group, DESY Hamburg, Notkestraße 85, D-22603 Hamburg, Germany) (Kavli Institute for Theoretical Physics, University of California, Santa Barbara, California 93106, USA) ; Caetano, João (Laboratoire de Physique Théorique, École Normale Supérieure and PSL Research University, 24 rue Lhomond, 75231 Paris Cedex 05, France) ; Fleury, Thiago (Laboratoire de Physique Théorique, École Normale Supérieure and PSL Research University, 24 rue Lhomond, 75231 Paris Cedex 05, France) (Instituto de Física Teórica, UNESP, ICTP South American Institute for Fundamental Research, Rua Dr Bento Teobaldo Ferraz 271, 01140-070, São Paulo, Brazil) (International Institute of Physics, Federal University of Rio Grande do Norte, Campos Universitario, Lagoa Nova, Natal, Rio Grande do Norte 59078-970, Brazil) ; Komatsu, Shota (School of Natural Sciences, Institute for Advanced Study, Einstein Drive, Princeton, New Jersey 08540, USA) (Perimeter Institute for Theoretical Physics, 31 Caroline Street North Waterloo, Ontario N2L 2Y5, Canada) ; Vieira, Pedro (Instituto de Física Teórica, UNESP, ICTP South American Institute for Fundamental Research, Rua Dr Bento Teobaldo Ferraz 271, 01140-070, São Paulo, Brazil) (Perimeter Institute for Theoretical Physics, 31 Caroline Street North Waterloo, Ontario N2L 2Y5, Canada)

05 December 2018

Abstract: We propose an integrability setup for the computation of correlation functions of gauge-invariant operators in N=4 supersymmetric Yang-Mills theory at higher orders in the large Nc genus expansion and at any order in the ’t Hooft coupling gYM2Nc. In this multistep proposal, one polygonizes the string world sheet in all possible ways, hexagonalizes all resulting polygons, and sprinkles mirror particles over all hexagon junctions to obtain the full correlator. We test our integrability-based conjecture against a nonplanar four-point correlator of large 1/2 Bogomol’nyi-Prasad-Sommerfield operators at one and two loops.


Published in: Physical Review Letters 121 (2018)
Published by: APS
DOI: 10.1103/PhysRevLett.121.231602
arXiv: 1711.05326
License: CC-BY-4.0



Back to search

Fulltext:
Download fulltextXML Download fulltextPDF