Integrability and Conformal Bootstrap: One Dimensional Defect CFT

Abstract

In this letter we study how the exact non-perturbative integrability methods in 4D N=4 Super-Yang-Mills can work efficiently together with the numerical conformal bootstrap techniques to go beyond the spectral observables and access previously unreachable quantities such as correlation functions at finite coupling. In the setup of 1D defect CFT living on a Maldacena-Wilson line, we managed to compute with good precision a non-supersymmetric structure constant for a wide range of the `t Hooft coupling. Our result is particularly precise at strong coupling and matches well with the recent analytic results of Meneghelli and Ferrero.

arXiv comment6 pages, 4 figures

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• Bootstrapping holographic defect correlators in $\mathcal{N}=4$ super Yang-Mills
• New Developments in the Numerical Conformal Bootstrap
• Analytic bootstrap for the localized magnetic field
• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
• Multipoint correlators on the supersymmetric Wilson line defect CFT
• Bootstrapping $\mathcal{N}=4$ sYM correlators using integrability
• Integrated correlators from integrability: Maldacena-Wilson line in $\mathcal{N}=4$ SYM
• Conformal dispersion relations for defects and boundaries
• Solving the Hagedorn temperature of AdS5/CFT4 via the Quantum Spectral Curve: Chemical potentials and deformations
• Lining up a Positive Semi-Definite Six-Point Bootstrap
• The Loom for General Fishnet CFTs
• Large Charges on the Wilson Loop in $\mathcal{N}=4$ SYM: Matrix Model and Classical String
• 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
• Positivity, low twist dominance and CSDR for CFTs
• The thermal bootstrap for the critical O(N) model
• Conformal line defects at finite temperature
• Ironing out the crease
• Large $N$ analytical functional bootstrap I: 1D CFTs and total positivity
• Bootstrability in Defect CFT: Integrated Correlators and Sharper Bounds
• Perturbative bootstrap of the Wilson-line defect CFT: Bulk-defect-defect correlators
• The $\mathcal{W}$-algebra bootstrap of 6d $\mathcal{N}=(2,0)$ theories
• Boundary bound states and integrable Wilson loops in ABJM
• Holographic Wilson Loop One-point Functions in ABJM Theory
• Beyond AdS${}_2$/dCFT${}_1$: Insertions in Two Wilson Loops