Holographic Wilson Loops

Abstract

We show that all half-BPS Wilson loop operators in N=4 SYM -- which are labeled by Young tableaus -- have a gravitational dual description in terms of D5-branes or alternatively in terms of D3-branes in AdS_5xS^5. We prove that the insertion of a half-BPS Wilson loop operator in the cal N=4 SYM path integral is achieved by integrating out the degrees of freedom on a configuration of bulk D5-branes or alternatively on a configuration of bulk D3-branes. The bulk D5-brane and D3-brane descriptions are related by bosonization.

35 pages, harvmac; added references and comments

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• Bubbling AdS space and 1/2 BPS geometries
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• An Exact Prediction of N=4 SUSYM Theory for String Theory
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Cited by in corpus (205)

• From weak to strong coupling in ABJM theory
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• Comments on operators with large spin
• Exact half-BPS Type IIB interface solutions II: Flux solutions and multi-Janus
• A supermatrix model for N=6 super Chern-Simons-matter theory
• Exact results for the entanglement entropy and the energy radiated by a quark
• The Energy of a Moving Quark-Antiquark Pair in an N=4 SYM Plasma
• Supersymmetric Wilson loops on S^3
• Wilson Loops as D3-Branes
• Unquenched Flavors in the Klebanov-Witten Model
• Gravity duals of half-BPS Wilson loops
• Supersymmetric Wilson Loops in N=6 Super Chern-Simons-matter theory
• Warped $Ad{S}_6\times S^2$ in Type IIB supergravity I: Local solutions
• 1/2-BPS states in M theory and defects in the dual CFTs
• Fusion of conformal interfaces
• Holographic Duals of Long Open Strings
• Towards a $C$-theorem in defect CFT
• Correlators of local operators and 1/8 BPS Wilson loops on S^2 from 2d YM and matrix models
• Acceleration, Energy Loss and Screening in Strongly-Coupled Gauge Theories
• Renormalization Group Flows on Line Defects
• Exact results for static and radiative fields of a quark in N=4 super Yang-Mills
• The Spectrum of Excitations of Holographic Wilson Loops
• Fermionic Operator Mixing in Holographic p-wave Superfluids
• Holographic Lattices, Dimers, and Glasses
• Superprotected n-point correlation functions of local operators in N=4 super Yang-Mills
• Half-BPS Solutions locally asymptotic to AdS_3 x S^3 and interface conformal field theories
• Wilson Loops in string duals of Walking and Flavored Systems
• Bubbling Surface Operators And S-Duality
• The 1/N correction in the D3-brane description of circular Wilson loop at strong coupling
• Exact results for Wilson loops in arbitrary representations
• Anomalies and Symmetry Fractionalization
• One-loop Effective Action of the Holographic Antisymmetric Wilson Loop
• More Exact Results in the Wilson Loop Defect CFT: Bulk-Defect OPE, Nonplanar Corrections and Quantum Spectral Curve
• Vortex Loop Operators, M2-branes and Holography
• A Holographic Model of the Kondo Effect
• Line defects and 5d instanton partition functions
• Spin Impurities, Wilson Lines and Semiclassics
• M5-branes and Wilson Surfaces
• M-theory Solutions Invariant under $D(2,1;\gamma )\oplus D(2,1;\gamma )$
• Notes on supersymmetric Wilson loops on a two-sphere
• Bootstrapping the half-BPS line defect CFT in $\mathcal{N}=4$ SYM at strong coupling
• Correlators on non-supersymmetric Wilson line in N=4 SYM and AdS${}_2$/CFT${}_1$
• Wilson Loops in 5d N=1 SCFTs and AdS/CFT
• Janus solutions in six-dimensional gauged supergravity
• Structure Constants in $\mathcal{N}=4$ SYM at Finite Coupling as Worldsheet $g$-Function
• Holographic duals of Boundary CFTs
• Holographic Gauge Theories in Background Fields and Surface Operators
• On the D3-brane description of some 1/4 BPS Wilson loops
• Operator product expansion of higher rank Wilson loops from D-branes and matrix models
• Localization and AdS/CFT Correspondence
• Aspects of Defects in 3d-3d Correspondence
• Entanglement Entropy in a Holographic Kondo Model
• Exact half-BPS string-junction solutions in six-dimensional supergravity
• A Semiclassical String Description of Wilson Loop with Local Operators
• Holographic RG-flows and Boundary CFTs
• Broken global symmetries and defect conformal manifolds
• One-loop Structure of Higher Rank Wilson Loops in AdS/CFT
• Boundary entropy of supersymmetric Janus solutions
• Energy Loss of Gluons, Baryons and k-Quarks in an N=4 SYM Plasma
• Fat Magnon
• Adding Flavor to AdS4/CFT3
• Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity
• Strings ending on branes from supergravity
• Intersecting Surface Defects and Two-Dimensional CFT
• Correlation Function of Circular Wilson Loops at Strong Coupling
• BPS Wilson Loops on S^2 at Higher Loops
• Semi-classical open string corrections and symmetric Wilson loops
• ADHM Revisited: Instantons and Wilson Lines
• Holographic entanglement entropy from probe M-theory branes
• Wilson loops in Five-Dimensional Super-Yang-Mills
• Anomalous Dimensions from a Spinning D5-Brane
• D-branes as a Bubbling Calabi-Yau
• Holography of BPS surface operators
• On the Symmetry TFT of Yang-Mills-Chern-Simons theory
• AdS${}_2$ duals to ADHM quivers with Wilson lines
• Holographic Kondo Model in Various Dimensions
• Wilson loop in general representation and RG flow in 1d defect QFT
• M5-branes and Wilson Surfaces in AdS${}_7$/CFT${}_6$ Correspondence
• UV-divergences of Wilson Loops for Gauge/Gravity Duality
• The static potential in {\cal N}=4 supersymmetric Yang-Mills at weak coupling
• Wilson Loops, Geometric Transitions and Bubbling Calabi-Yau's
• Open Worldsheets for Holographic Interfaces
• Connected correlator of 1/2 BPS Wilson loops in $\mathcal{N}=4$ SYM
• Topological Holography: The Example of The D2-D4 Brane System
• Giants and loops in beta-deformed theories
• Wilson loops in unitary matrix models at finite $N$
• Two-point Functions in a Holographic Kondo Model
• Entanglement entropy of Wilson surfaces from bubbling geometries in M-theory
• Wilson loops in terms of color invariants
• Magnetic quivers and line defects -- On a duality between 3d N=4 unitary and orthosymplectic quivers
• Exact $\mathcal{N}=2^{\ast }$ Schur line defect correlators
• Near BPS Wilson Loop in beta-deformed Theories
• Giant Wilson Loops and AdS${}_2$/dCFT${}_1$
• A prediction for bubbling geometries
• BPS Wilson loops in $\mathcal{N}\ge 2$ superconformal Chern-Simons-matter theories
• Wilson surfaces in M5-branes
• String theory duals of Wilson loops from Higgsing
• Fermionic impurities in Chern-Simons-matter theories
• The Polyakov Loop of Anti-symmetric Representations as a Quantum Impurity Model
• Boundary condition for D-brane from Wilson loop, and gravitational interpretation of eigenvalue in matrix model in AdS/CFT correspondence
• Line Defects in Three Dimensional Mirror Symmetry beyond Linear Quivers
• Operator Product Expansion of Wilson surfaces from M5-branes
• Branes from Light: Embeddings and Energetics for Symmetric $k$-Quarks in $\mathcal{N}=4$ SYM
• Surface defects as transfer matrices
• Holographic Line Defects in $D=4$, $N=2$ Gauged Supergravity
• Wilson loops stability in the gauge/string correspondence
• Large rank Wilson loops in N=2 superconformal QCD at strong coupling
• Holography of Non-relativistic String on AdS5xS5
• Energy loss by radiation to all orders in 1/N
• String Junctions and Holographic Interfaces
• Large $N$ and large representations of Schur line defect correlators
• Geometry of open strings ending on backreacting D3-branes
• Non-relativistic String and D-branes on AdS_5 x S^5 from Semiclassical Approximation
• On the Quantization of Seiberg-Witten Geometry
• Entanglement of heavy quark impurities and generalized gravitational entropy
• Strings in Bubbling Geometries and Dual Wilson Loop Correlators
• Bethe/Gauge correspondence in odd dimension: modular double, non-perturbative corrections and open topological strings
• Supersymmetric D-branes in the D1-D5 background
• AdS/CFT Correspondence as a Consequence of Scale Invariance
• Gravity and On-Shell Probe Actions
• The Self-dual String Soliton in AdS_4\times S^7 spacetime
• Large $N$ expansion of an integrated correlator in $\mathcal{N}=4$ SYM
• Wilson-loop One-point Functions in ABJM Theory
• Taming Supersymmetric Defects in 3d-3d Correspondence
• On gauge/string correspondence and mirror symmetry
• Detecting topology change via correlations and entanglement from gauge/gravity correspondence
• Holographic Wilson Loops in Symmetric Representations in N = 2* Super-Yang-Mills Theory
• Open String Attractors
• Line defects as brane boxes in Gaiotto-Maldacena geometries
• Symmetric Wilson Loops beyond leading order
• Wilson Loops in 3d QFT from D-branes in AdS(4) x CP**3
• Hot Giant Loop Holography
• Coherent state operators, giant gravitons, and gauge-gravity correspondence
• Entanglement entropy and edge modes in topological string theory II: The dual gauge theory story
• Strings on Bubbling Geometries
• Wilson-Polyakov surfaces and M-theory branes
• Topological strings and Wilson loops
• Supersymmetric Wilson loops with general contours in ABJM theory
• Dressed Wilson Loops on S^2
• A defect action for Wilson loops
• Excitations of bubbling geometries for line defects
• ABCD of 't Hooft operators
• Tensions and Luscher Terms for (2+1)-dimensional k-strings from Holographic Models
• Fermionic Bogomolnyi-Prasad-Sommerfield Wilson loops in four-dimensional $\mathcal{N}=2$ superconformal gauge theories
• ABCD of qq-characters
• Higher Rank ABJM Wilson Loops from Matrix Models
• Phase Transition of Anti-Symmetric Wilson Loops in $\mathcal{N}=4$ SYM
• Tension of Confining Strings at Low Temperature
• Holographic flows and thermodynamics of Polyakov loop impurities
• N = 2 SCFTs: An M5-brane perspective
• BPS Wilson loops in N=4 SYM: Examples on hyperbolic submanifolds of space-time
• Z(N) Domain walls in hot N=4 SYM at weak and strong coupling
• Antisymmetric Wilson loops in N = 4 SYM: from exact results to non-planar corrections
• Holographic Entanglement Entropy of the Coulomb Branch
• Supersymmetric Lifshitz-like backgrounds from N=4 SYM with heavy quark density
• Entanglement entropy of Wilson loops: Holography and matrix models
• Spectra of Certain Holographic ABJM Wilson Loops in Higher Rank Representations
• Holographic entanglement entropy of surface defects
• Velocity Statistics in Holographic Fluids: Magnetized Quark-Gluon Plasma and Superfluid Flow
• New ${\text{AdS}}_2/{\text{CFT}}_1$ pairs from ${\text{AdS}}_3$ and monopole bubbling
• Cusped Wilson lines in symmetric representations
• Correlator of Fundamental and Anti-symmetric Wilson Loops in AdS/CFT Correspondence
• Antisymmetric Wilson loops in $\mathcal{N}=4$ SYM beyond the planar limit
• Functional Determinants of Radial Operators in $Ad{S}_2$
• Holographic Generalised Gukov-Witten Defects
• Ironing out the crease
• Holographic Wilson Lines as Screened Impurities
• Quantum Geometry and $\theta$-Angle in Five-Dimensional Super Yang-Mills
• Wilson loops in Large Symmetric Representations through a Double-Scaling Limit
• Deconstructing Defects
• Supersymmetric Wilson Loops via Integral Forms
• Dual String Description of Wilson Loop in Non-commutative Gauge Theory
• Effective Hopping in Holographic Bose and Fermi-Hubbard Models
• Note on generating functions and connected correlators of 1/2-BPS Wilson loops in $\mathcal{N}=4$ SYM theory
• Supersymmetric Wilson Loops, Instantons, and Deformed $\mathcal{W}$-Algebras
• Interior analysis, stretched technique and bubbling geometries
• Exact M-Theory Solutions, Integrable Systems, and Superalgebras
• Defect CFTs and holographic multiverse
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• Combinatorics of Wilson loops in $\mathcal{N}=4$ SYM theory
• Wilson-t'Hooft Loops in Finite-Temperature Non-commutative Dipole Field Theory from Dual Supergravity
• Holographic k-string Tensions in Higher Representations and Luescher Term Universality
• Wilson Loops from D-branes in AdS(4) X CP**3 with B-NS Holonomy
• Holographic RG flow and reparametrization invariance of Wilson Loops
• Polyakov Loops for the ABJ Theory
• Ladder exponentiation for generic large symmetric representation Wilson loops
• Comments on Higher Rank Wilson Loops in $\mathcal{N}=2^{\ast }$
• New dimer integrable systems and defects in five dimensional gauge theory
• Wilson Loops for M2- and M5-brane spaces
• 't Hooft Operators on an Interface and Bubbling D5-Branes
• QCD, with Strings Attached
• A tunneling picture of dual giant Wilson loop
• $\mathcal{N}=4$ line defect correlators of type BCD
• D-brane Description of New Open String Solutions in AdS(5)
• Operator with large spin and spinning D3-brane
• Black branes with cosmological constant
• Exact 1/N expansion of Wilson loop correlators in $\mathcal{N}=4$ Super-Yang-Mills theory
• Dyonic D3 branes
• Holographic Operator Product Expansion of Loop Operators in $\mathcal{N}=4$ $SO(N)$ Super Yang-Mills Theory
• BIons in topological string theory
• More on 5d Wilson Loops in Higher-Rank Theories and Blowup Equations
• On the D5-brane description of $\frac{1}{4}$-BPS Wilson loops in $\mathcal{N}=4$ super Yang-Mills theory
• Interface line operators in $\mathcal{N}=4$ SYM theories and supersymmetric indices
• Position dependence of the holographic entanglement entropy for an accelerating quark-antiquark pair
• The quantum UV-IR map for line defects in $\mathfrak{gl}(3)$-type class $S$ theories