The Wilson loop CFT: Insertion dimensions and structure constants from wavy lines

Abstract

We study operator insertions into the $1/2$ BPS Wilson loop in $\mathcal{N}=4$ SYM theory and determine their two-point coefficients, anomalous dimensions and structure constants. The calculation is done for the first few lowest dimension insertions and relies on known results for the expectation value of a smooth Wilson loop. In addition to the particular coefficients that we calculate, our study elucidates the connection between deformations of the line and operator insertions and between the vacuum expectation value of the line and the CFT data of the insertions.

arXiv comment23 pages. v2: minor corrections

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Cited by in corpus (37)

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• 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${}_1$
• BPS Wilson loops in generic conformal N=2 SU(N) SYM theories
• Correlators between Wilson loop and chiral operators in N=2 conformal gauge theories
• Analytic bootstrap and Witten diagrams for the ABJM Wilson line as defect CFT${}_1$
• Defect CFT in the 6d (2,0) theory from M2 brane dynamics in AdS${}_7\times$S${}^4$
• Broken global symmetries and defect conformal manifolds
• Excited States of One-Dimensional Defect CFTs from the Quantum Spectral Curve
• Exact Bremsstrahlung functions in ABJM theory
• Bootstrapping line defects in $\mathcal{N}=2$ theories
• Wilson loop in general representation and RG flow in 1d defect QFT
• Correlation Functions on the Half-BPS Wilson Loop: Perturbation and Hexagonalization
• On non-supersymmetric generalizations of the Wilson-Maldacena loops in N=4 SYM
• Integrated correlators from integrability: Maldacena-Wilson line in $\mathcal{N}=4$ SYM
• Surface operators in the 6d $\mathcal{N}=(2,0)$ theory
• Giant Wilson Loops and AdS${}_2$/dCFT${}_1$
• Open Fishchain in N=4 Supersymmetric Yang-Mills Theory
• Notes on hyperloops in N=4 Chern-Simons-matter theories
• Mellin amplitudes for 1$d$ CFT
• Large Charges on the Wilson Loop in $\mathcal{N}=4$ SYM: Matrix Model and Classical String
• Deformations of the circular Wilson loop and spectral (in)dependence
• 1/3 BPS loops and defect CFTs in ABJM theory
• Large Charges on the Wilson Loop in $\mathcal{N}=4$ SYM: II. Quantum Fluctuations, OPE, and Spectral Curve
• Constant primary operators and where to find them: The strange case of BPS defects in ABJ(M) theory
• Defect Localized Entropy: Renormalization Group and Holography
• Bootstrapping Smooth Conformal Defects in Chern-Simons-Matter Theories
• Bootstrability in Defect CFT: Integrated Correlators and Sharper Bounds
• On anomalous conformal Ward identities for Wilson loops on polygon-like contours with circular edges
• Interpolating Bremsstrahlung function in ABJM
• Bootstrap of the defect 1/2 BPS Wilson lines in N=4 Chern-Simons-matter theories
• Beyond AdS${}_2$/dCFT${}_1$: Insertions in Two Wilson Loops
• Higher order RG flow on the Wilson line in $\mathcal{N}=4$ SYM
• Two-Point Correlator of Chiral Primary Operators with a Wilson Line Defect in $\mathcal{N}=4$ SYM