A Two-Loop Octagon Wilson Loop in N = 4 SYM

Abstract

In the planar N = 4 supersymmetric Yang-Mills theory at weak coupling, we perform the first analytic computation of a two-loop eight-edged Wilson loop embedded into the boundary of AdS3. Its remainder function is given as a function of uniform transcendental weight four in terms of a constant plus a product of four logarithms. We compare to the strong-coupling result, and test a conjecture on the universality of the remainder function proposed in the literature.

15 pages, 2 figures

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• MHV Amplitudes in N=4 Super Yang-Mills and Wilson Loops
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• Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)
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Cited by in corpus (47)

• Bootstrapping the three-loop hexagon
• The Complete Planar S-matrix of N=4 SYM as a Wilson Loop in Twistor Space
• Motivic Amplitudes and Cluster Coordinates
• Analytic result for the two-loop six-point NMHV amplitude in N=4 super Yang-Mills theory
• Superconformal symmetry and two-loop amplitudes in planar N=4 super Yang-Mills
• A Symbol of Uniqueness: The Cluster Bootstrap for the 3-Loop MHV Heptagon
• Jumpstarting the all-loop S-matrix of planar N=4 super Yang-Mills
• Hexagon functions and the three-loop remainder function
• The four-loop remainder function and multi-Regge behavior at NNLLA in planar N=4 super-Yang-Mills theory
• Pulling the straps of polygons
• Hidden symmetry of four-point correlation functions and amplitudes in N=4 SYM
• Form Factors in N=4 Super Yang-Mills and Periodic Wilson Loops
• The infrared structure of gauge theory amplitudes in the high-energy limit
• Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
• On form factors in N=4 sym
• New differential equations for on-shell loop integrals
• Scattering amplitudes: the most perfect microscopic structures in the universe
• Diagrammatic Exponentiation for Products of Wilson Lines
• Bootstrapping Null Polygon Wilson Loops
• BFKL approach and six-particle MHV amplitude in N=4 super Yang-Mills
• General properties of multiparton webs: proofs from combinatorics
• Simple loop integrals and amplitudes in N=4 SYM
• Analytic Results for MHV Wilson Loops
• An analytic result for the two-loop seven-point MHV amplitude in N=4 SYM
• Three-loop octagons and n-gons in maximally supersymmetric Yang-Mills theory
• Wilson Loops @ 3-Loops in Special Kinematics
• All Two-Loop MHV Amplitudes in Multi-Regge Kinematics From Applied Symbology
• Multichannel Conformal Blocks for Polygon Wilson Loops
• OPE for Super Loops
• On wrapping corrections to GKP-like operators
• OPE for null Wilson loops and open spin chains
• The Two-Loop Remainder Function for Eight and Nine Particles
• g-Functions and gluon scattering amplitudes at strong coupling
• T-functions and multi-gluon scattering amplitudes
• Hedgehog Bases for A_n Cluster Polylogarithms and An Application to Six-Point Amplitudes
• Null-polygonal minimal surfaces in AdS_4 from perturbed W minimal models
• Some analytic results for two-loop scattering amplitudes
• Wilson loop remainder function for null polygons in the limit of self-crossing
• Hexagon remainder function in the limit of self-crossing up to three loops
• Uplifting Amplitudes in Special Kinematics
• Loop lessons from Wilson loops in N=4 supersymmetric Yang-Mills theory
• Bootstrapping octagons in reduced kinematics from $A_2$ cluster algebras
• A note on two-loop superloop
• Differential equations for multi-loop integrals and two-dimensional kinematics
• Yangian symmetry of light-like Wilson loops
• Z-Sum Approach to Loop Integrals using Taylor Expansion
• Gluon scattering amplitudes from gauge/string duality and integrability