Analytic Results for MHV Wilson Loops

Abstract

We obtain concise analytic formulae for Wilson loops computed on special n-point polygonal contours through two-loops in weakly coupled N=4 supersymmetric gauge theory. The contours we consider can be embedded into a (1+1)-dimensional subspace of the 4-dimensional gauge theory, corresponding to the boundary of the AdS_3 on the string theory side. Our analytic results hold for any number of edges, thus generalising to arbitrary n the recently derived expressions for 2-dimensional octagons. These polygonal Wilson loops have been conjectured to be equivalent to MHV scattering amplitudes in planar N=4 SYM.

20 pages, 6 figures

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Cited by in corpus (40)

• Bootstrapping the three-loop hexagon
• 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
• 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
• Multi-Regge kinematics and the moduli space of Riemann spheres with marked points
• New differential equations for on-shell loop integrals
• Scattering amplitudes: the most perfect microscopic structures in the universe
• Bootstrapping Null Polygon Wilson Loops
• General properties of multiparton webs: proofs from combinatorics
• Simple loop integrals and amplitudes in N=4 SYM
• An analytic result for the two-loop seven-point MHV amplitude in N=4 SYM
• Star Integrals, Convolutions and Simplices
• The Differential of All Two-Loop MHV Amplitudes in N=4 Yang-Mills Theory
• Three-loop octagons and n-gons in maximally supersymmetric Yang-Mills theory
• Multichannel Conformal Blocks for Polygon Wilson Loops
• Wilson Loops @ 3-Loops in Special Kinematics
• All Two-Loop MHV Amplitudes in Multi-Regge Kinematics From Applied Symbology
• On wrapping corrections to GKP-like operators
• OPE for null Wilson loops and open spin chains
• Feynman Integrals and Scattering Amplitudes from Wilson Loops
• 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
• Cluster Polylogarithms for Scattering Amplitudes
• Null-polygonal minimal surfaces in AdS_4 from perturbed W minimal models
• Some analytic results for two-loop scattering amplitudes
• Uplifting Amplitudes in Special Kinematics
• Bootstrapping octagons in reduced kinematics from $A_2$ cluster algebras
• Yangian Symmetry in N=4 super Yang-Mills
• Cluster algebras in scattering amplitudes with special 2D kinematics
• MHV amplitudes at strong coupling and linearized TBA equations
• Differential equations for multi-loop integrals and two-dimensional kinematics
• Yangian symmetry of light-like Wilson loops
• Gluon scattering amplitudes from gauge/string duality and integrability