Correlators of Wilson loops and local operators from multi-matrix models and strings in AdS

Abstract

We study correlation functions of Wilson loops and local operators in a subsector of N=4 SYM which preserves two supercharges. Localization arguments allow to map the problem to a calculation in bosonic two-dimensional Yang-Mills theory. In turn, this can be reduced to computing correlators in certain Gaussian multi-matrix models. We focus on the correlation function of a Wilson loop and two local operators, and solve the corresponding three-matrix model exactly in the planar limit. We compare the strong coupling behavior to string theory in AdS_5xS^5, finding precise agreement. We pay particular attention to the case in which the local operators have large R-charge J \sim sqrt{lambda} at strong coupling.

50 pages, 9 figures. v2: minor changes, references added

References in corpus (15)

• Supersymmetric Wilson loops on S^3
• On three-point correlation functions in the gauge/gravity duality
• More supersymmetric Wilson loops
• Wilson loops: From four-dimensional SYM to two-dimensional YM
• Analytic Solution of Bremsstrahlung TBA
• On semiclassical computation of 3-point functions of closed string vertex operators in AdS_5 x S^5
• On semiclassical approximation for correlators of closed string vertex operators in AdS/CFT
• Wilson loop correlators at strong coupling: from matrices to bubbling geometries
• Superprotected n-point correlation functions of local operators in N=4 super Yang-Mills
• Higgs Bundles, Gauge Theories and Quantum Groups
• Semiclassical four-point functions in AdS_5 x S^5
• Correlators of supersymmetric Wilson-loops, protected operators and matrix models in N=4 SYM
• Exact 1/4 BPS Loop - Chiral Primary Correlator
• The 1/2 BPS 't Hooft loops in N=4 SYM as instantons in 2d Yang-Mills
• Dressed Wilson Loops on S^2

Cited by in corpus (52)

• Half-BPS Wilson loop and AdS${}_2$/CFT${}_1$
• Bootstrap equations for $\mathcal{N}=4$ SYM with defects
• Analytic Solution of Bremsstrahlung TBA
• Non-perturbative Defect One-Point Functions in Planar $\mathcal{N}=4$ Super-Yang-Mills
• Exact results for Wilson loops in arbitrary representations
• The generalized cusp in ABJ(M) N = 6 Super Chern-Simons theories
• More Exact Results in the Wilson Loop Defect CFT: Bulk-Defect OPE, Nonplanar Corrections and Quantum Spectral Curve
• Operator Mixing in Large $N$ Superconformal Field Theories on ${\mathbb{S}}^4$ and Correlators with Wilson loops
• Wilson lines as superconformal defects in ABJM theory: a formula for the emitted radiation
• 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
• Localization and AdS/CFT Correspondence
• Bootstrapping holographic defect correlators in $\mathcal{N}=4$ super Yang-Mills
• Taming Defects in $\mathcal{N}=4$ Super-Yang-Mills
• Bremsstrahlung function, leading Luscher correction at weak coupling and localization
• Exact Correlators on the Wilson Loop in $\mathcal{N}=4$ SYM: Localization, Defect CFT, and Integrability
• Perturbative evaluation of circular 1/2 BPS Wilson loops in N = 6 Super Chern-Simons theories
• Multipoint correlators on the supersymmetric Wilson line defect CFT
• On the structure of non-planar strong coupling corrections to correlators of BPS Wilson loops and chiral primary operators
• Spin chain integrability in non-supersymmetric Wilson loops
• Correlation function of circular Wilson loop with two local operators and conformal invariance
• Correlators of chiral primaries and 1/8 BPS Wilson loops from perturbation theory
• Giant Wilson Loops and AdS${}_2$/dCFT${}_1$
• Exact momentum fluctuations of an accelerated quark in N=4 super Yang-Mills
• Twistor actions for gauge theory and gravity
• Non-Unitary Holography
• Strings in Bubbling Geometries and Dual Wilson Loop Correlators
• Large Charges on the Wilson Loop in $\mathcal{N}=4$ SYM: Matrix Model and Classical String
• Wilson-loop One-point Functions in ABJM Theory
• The topological line of ABJ(M) theory
• Observations on BPS observables in 6d
• Dyson equations for correlators of Wilson loops
• Large Charges on the Wilson Loop in $\mathcal{N}=4$ SYM: II. Quantum Fluctuations, OPE, and Spectral Curve
• Antisymmetric Wilson loops in N = 4 SYM: from exact results to non-planar corrections
• Emitted Radiation and Geometry
• Defect correlators in a $\mathcal{N}=2$ SCFT at strong coupling
• WiLE: a Mathematica package for weak coupling expansion of Wilson loops in ABJ(M) theory
• Resurgent Analysis of Localizable Observables in Supersymmetric Gauge Theories
• Functional Determinants of Radial Operators in $Ad{S}_2$
• Semi-classical correlator for 1/4 BPS Wilson loop and chiral primary operator with large R-charge
• Antisymmetric Wilson loops in $\mathcal{N}=4$ SYM beyond the planar limit
• On topological recursion for Wilson loops in $\mathcal{N}=4$ SYM at strong coupling
• Dual conformal transformations of smooth holographic Wilson loops
• Wilson loop correlators in $\mathcal{N}=2$ superconformal quivers
• Supersymmetric Wilson loops in two dimensions and duality
• BPS Wilson loops in mass-deformed ABJM theory: Fermi gas expansions and new defect CFT data
• On broken zero modes of a string world sheet, and a correlation function of a 1/4 BPS Wilson loop and a 1/2 BPS local operator
• Loop Equation and Exact Soft Anomalous Dimension in N=4 Super Yang-Mills
• Chiral correlators in $\mathcal{N}=2$ superconformal quivers
• Holographic correlation functions of hexagon Wilson loops with one local operator
• Supersymmetric String Configurations in Ad${\mathbb{S}}_5\times {\mathbb{S}}^5$
• Holographic Wilson Loop One-point Functions in ABJM Theory