Perturbative bootstrap of the Wilson-line defect CFT: Bulk-defect-defect correlators

Abstract

We study the correlators of bulk and defect half-BPS operators in $\mathcal{N}=4$ Super Yang-Mills theory with a Maldacena-Wilson line defect, focusing on the case involving one bulk and two defect local operators. We analyze the non-perturbative constraints on these correlators, which include a topological sector, pinching and splitting limits, and we compute a variety of bulk-defect-defect correlators up to next-to-leading order at weak coupling, surprisingly observing that transcendental terms cancel. Additionally, we provide results in the strong-coupling regime for the first two leading orders using a mixture of Witten diagrams and non-perturbative constraints.

47 pages, 7 figures, 1 table. v4 includes a completely new section on large N scaling of defect CFT data and a revised strong coupling calculation. We updated the acknowledgments and the references and fixed minor typos

References in corpus (40)

• Gluon scattering amplitudes at strong coupling
• Analyticity in Spin in Conformal Theories
• Superconformal Symmetry, Correlation Functions and the Operator Product Expansion
• BMN Correlators and Operator Mixing in N=4 Super Yang-Mills Theory
• Half-BPS Wilson loop and AdS${}_2$/CFT${}_1$
• Bootstrap equations for $\mathcal{N}=4$ SYM with defects
• Bootstrapping the half-BPS line defect
• On Four-Point Functions of Half-BPS Operators in General Dimensions
• Correlators of local operators and 1/8 BPS Wilson loops on S^2 from 2d YM and matrix models
• A tauberian theorem for the conformal bootstrap
• Wilson loops: From four-dimensional SYM to two-dimensional YM
• Conformal Partial Wave Expansions for N=4 Chiral Four Point Functions
• Localized magnetic field in the $O(N)$ model
• Line and surface defects for the free scalar field
• Superprotected n-point correlation functions of local operators in N=4 super Yang-Mills
• Wilson loops in SYM theory: from weak to strong coupling
• Integrability and Conformal Bootstrap: One Dimensional Defect CFT
• More Exact Results in the Wilson Loop Defect CFT: Bulk-Defect OPE, Nonplanar Corrections and Quantum Spectral Curve
• Truncatable bootstrap equations in algebraic form and critical surface exponents
• Bootstrapping the half-BPS line defect CFT in $\mathcal{N}=4$ SYM at strong coupling
• The structure of n-point functions of chiral primary operators in N=4 super Yang-Mills at one-loop
• Bootstrapping line defects with $O(2)$ global symmetry
• Broken global symmetries and defect conformal manifolds
• Bootstrapping holographic defect correlators in $\mathcal{N}=4$ super Yang-Mills
• Excited States of One-Dimensional Defect CFTs from the Quantum Spectral Curve
• Notes on a Surface Defect in the $O(N)$ Model
• Analytic bootstrap for the localized magnetic field
• Aspects of CFTs on Real Projective Space
• A dispersion relation for defect CFT
• Line Defect RG Flows in the $\epsilon$ Expansion
• Integrated correlators from integrability: Maldacena-Wilson line in $\mathcal{N}=4$ SYM
• On the structure of non-planar strong coupling corrections to correlators of BPS Wilson loops and chiral primary operators
• Correlation function of circular Wilson loop with two local operators and conformal invariance
• Spin chain integrability in non-supersymmetric Wilson loops
• Conformal dispersion relations for defects and boundaries
• Open Fishchain in N=4 Supersymmetric Yang-Mills Theory
• Superconformal Boundaries in $4-\epsilon$ dimensions
• Bootstrapping string dynamics in the 6d $\mathcal{N}=(2,0)$ theories
• Defect Conformal Blocks from Appell Functions
• Loop Operators in Three-Dimensional $\mathcal{N}=2$ Fishnet Theories