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

Author(s)

Bargheer, Till ^{[1, 2, 3]} ; Caetano, Joao ^{[4, 5]} ; Fleury, Thiago ^{[6, 4, 5, 7]} ; Komatsu, Shota ^{[8, 9]} ; Vieira, Pedro ^{[6, 8]}

Affiliation

^[1] Univ Calif Santa Barbara, Kavli Inst Theoret Phys, Santa Barbara, CA 93106 - USA

^[2] Leibniz Univ Hannover, Inst Theoret Phys, Appelstr 2, D-30167 Hannover - Germany

^[3] DESY Hamburg, DESY Theory Grp, Notkestr 85, D-22603 Hamburg - Germany

^[4] Ecole Normale Super, Lab Phys Theor, 24 Rue Lhomond, F-75231 Paris 05 - France

^[5] PSL Res Univ, 24 Rue Lhomond, F-75231 Paris 05 - France

^[6] Univ Estadual Paulista, ICTP South Amer Inst Fundamental Res, Inst Fis Teor, Rua Dr Bento Teobaldo Ferraz 271, BR-01140070 Sao Paulo - Brazil

^[7] Univ Fed Rio Grande do Norte, Int Inst Phys, Campos Univ, BR-59078970 Natal, RN - Brazil

^[8] Perimeter Inst Theoret Phys, 31 Caroline St, North Waterloo, ON N2L 2Y5 - Canada

^[9] Inst Adv Study, Sch Nat Sci, Einstein Dr, Princeton, NJ 08540 - USA

• Document type: Journal article
• Source: Physical Review Letters; v. 121, n. 23 DEC 5 2018.
• Web of Science Citations: 15

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 N-c genus expansion and at any order in the `t Hooft coupling g(YM)(2)N(c). 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. (AU)

• FAPESP's process: 16/01343-7 - ICTP South American Institute for Fundamental Research: a regional center for theoretical physics
• Grantee: Nathan Jacob Berkovits
• Support Opportunities: Special Projects