Structure constants of operators on the Wilson loop from integrability

Abstract

We study structure constants of local operators inserted on the Wilson loop in $\mathcal{N}=4$ super Yang-Mills theory. We compute the structure constants in the SU(2) sector at tree level using the correspondence between operators on the Wilson loop and the open spin chain. The results are interpreted as the summation over all possible ways of changing the signs of magnon momenta in the hexagon form factors. This is consistent with a holographic description of the correlator as the cubic open string vertex, which consists of one hexagonal patch and three boundaries. We then conjecture that a similar expression should hold also at finite coupling.

38 pages; v3: JHEP published version

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Cited by in corpus (13)

• Quantum Spectral Curve and Structure Constants in N=4 SYM: Cusps in the Ladder Limit
• Handling Handles: Nonplanar Integrability in $\mathcal{N}=4$ Supersymmetric Yang-Mills Theory
• Non-supersymmetric Wilson loop in N=4 SYM and defect 1d CFT
• More Exact Results in the Wilson Loop Defect CFT: Bulk-Defect OPE, Nonplanar Corrections and Quantum Spectral Curve
• Correlators on non-supersymmetric Wilson line in N=4 SYM and AdS${}_2$/CFT${}_1$
• Structure Constants of Defect Changing Operators on the 1/2 BPS Wilson Loop
• Exact Correlators on the Wilson Loop in $\mathcal{N}=4$ SYM: Localization, Defect CFT, and Integrability
• Correlation Functions on the Half-BPS Wilson Loop: Perturbation and Hexagonalization
• Spin chain integrability in non-supersymmetric Wilson loops
• Giant Wilson Loops and AdS${}_2$/dCFT${}_1$
• Deformations of the circular Wilson loop and spectral (in)dependence
• Large Charges on the Wilson Loop in $\mathcal{N}=4$ SYM: II. Quantum Fluctuations, OPE, and Spectral Curve
• Cutting the cylinder into squares: The square form factor