The Wilson Loop -- Large Spin OPE Dictionary

Abstract

We work out the map between null polygonal hexagonal Wilson loops and spinning three point functions in large $N$ conformal gauge theories by mapping the variables describing the two different physical quantities and by working out the precise normalization factors entering this duality. By fixing all the kinematics we open the ground for a precise study of the dynamics underlying these dualities -- most notably through integrability in the case of planar maximally supersymmetric Yang-Mills theory.

34 pages, 6 figures, 2 notebooks; typos corrected

References in corpus (7)

• Gluon scattering amplitudes at strong coupling
• Classical Polylogarithms for Amplitudes and Wilson Loops
• An Operator Product Expansion for Polygonal null Wilson Loops
• Hexagonalization of Correlation Functions
• Structure Constants and Integrable Bootstrap in Planar N=4 SYM Theory
• Three-loop universal structure constants in N=4 susy Yang-Mills theory
• On structure constants with two spinning twist-two operators

Cited by in corpus (12)

• Structure constants of short operators in planar $\mathcal{N}=4$ SYM theory
• Wilson Loop Duality and OPE for Super Form Factors of Half-BPS Operators
• Higher-Point Integrands in N=4 super Yang-Mills Theory
• Stampedes I: Fishnet OPE and Octagon Bootstrap with Nonzero Bridges
• Stampedes II: Null Polygons in Conformal Gauge Theory
• Spinning Hexagons
• Sparsity in the numerical six-point bootstrap
• Higher-Point Correlators in N=4 SYM: Generating Functions
• Wilson Loops with Lagrangians: Large Spin OPE and Cusp Anomalous Dimension Dictionary
• Two spinning Konishi operators at three loops
• Higher-Point Correlators in N=4 SYM: Ten-Dimensional Null Polygons
• Orthogonality of Q-Functions up to Wrapping in Planar N=4 Super Yang-Mills Theory