On gravitational description of Wilson lines

Abstract

We study solutions of Type IIB supergravity, which describe the geometries dual to supersymmetric Wilson lines in N=4 super-Yang-Mills. We show that the solutions are uniquely specified by one function which satisfies a Laplace equation in two dimensions. We show that if this function obeys a certain Dirichlet boundary condition, the corresponding geometry is regular, and we find a simple interpretation of this boundary condition in terms of D3 and D5 branes which are dissolved in the geometry. While all our metrics have AdS_5 x S^5 asymptotics, they generically have nontrivial topologies, which can be uniquely specified by a set of non-contractible three- and five-spheres.

46 pages

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• Gauge Theory Correlators from Non-Critical String Theory
• Large N Field Theories, String Theory and Gravity
• Wilson loops in large N field theories
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• Bubbling AdS space and 1/2 BPS geometries
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• Giant Gravitons in Conformal Field Theory
• Large branes in AdS and their field theory dual
• A toy model for the AdS/CFT correspondence
• SUSY and Goliath
• Gauge/Gravity Duals with Holomorphic Dilaton
• All-genus calculation of Wilson loops using D-branes
• Branes in AdS and pp-wave spacetimes
• A Construction of Killing Spinors on S^n
• Flux Stabilization of D-branes
• Giant Gravitons from Holomorphic Surfaces
• Large N BPS states and emergent quantum gravity
• All loop BMN state energies from matrices
• Fermions from Half-BPS Supergravity
• Stable Wrapped Branes
• Geometry Quantization from Supergravity: the case of "Bubbling AdS"
• Ramond-Ramond Flux Stabilization of D-Branes
• Classifying Supergravity Solutions

Cited by in corpus (110)

• Exact half-BPS Type IIB interface solutions I: Local solution and supersymmetric Janus
• Exact half-BPS Type IIB interface solutions II: Flux solutions and multi-Janus
• A supermatrix model for N=6 super Chern-Simons-matter theory
• Supersymmetric Wilson loops on S^3
• Holographic Duals of D=3 N=4 Superconformal Field Theories
• Wilson Loops as D3-Branes
• Unquenched Flavors in the Klebanov-Witten Model
• Higher rank Wilson loops from a matrix model
• Gravity duals of half-BPS Wilson loops
• 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
• Correlators of local operators and 1/8 BPS Wilson loops on S^2 from 2d YM and matrix models
• The AdS/CFT Correspondence
• The Spectrum of Excitations of Holographic Wilson Loops
• Bubbling Defect CFT's
• 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
• Janus solutions in M-theory
• Bubbling Surface Operators And S-Duality
• The 1/N correction in the D3-brane description of circular Wilson loop at strong coupling
• More Exact Results in the Wilson Loop Defect CFT: Bulk-Defect OPE, Nonplanar Corrections and Quantum Spectral Curve
• IIB Duals of D=3 N=4 Circular Quivers
• Vortex Loop Operators, M2-branes and Holography
• Wilson Loops in 5d N=1 SCFTs and AdS/CFT
• Janus solutions in six-dimensional gauged supergravity
• Holographic Gauge Theories in Background Fields and Surface Operators
• Massive Anti-de Sitter Gravity from String Theory
• Holographic duals of Boundary CFTs
• 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
• Exact half-BPS string-junction solutions in six-dimensional supergravity
• Boundary entropy of supersymmetric Janus solutions
• Holographic RG-flows and Boundary CFTs
• Review of AdS/CFT Integrability, Chapter IV.1: Aspects of Non-Planarity
• 1/8 BPS States in Ads/CFT
• Holographic flavor on the Higgs branch
• Strings ending on branes from supergravity
• Supersymmetric AdS3 X S2 M-theory geometries with fluxes
• Semi-classical open string corrections and symmetric Wilson loops
• Exact 1/4 BPS Loop - Chiral Primary Correlator
• Wilson loops in 5d long quiver gauge theories
• Wilson loops in Five-Dimensional Super-Yang-Mills
• Holography of BPS surface operators
• 1/4-BPS M-theory bubbles with SO(3) x SO(4) symmetry
• BPS states in type IIB SUGRA with $SO(4)\times SO(2)_{gauged} symmetry
• M5-branes and Wilson Surfaces in AdS${}_7$/CFT${}_6$ Correspondence
• On 1/2-BPS Wilson-'t Hooft loops
• Wilson Loops, Geometric Transitions and Bubbling Calabi-Yau's
• Connected correlator of 1/2 BPS Wilson loops in $\mathcal{N}=4$ SYM
• AdS_3 x S^3 x S^3 x S^1 Solutions of Type IIB String Theory
• Open Worldsheets for Holographic Interfaces
• Giants and loops in beta-deformed theories
• AdS spacetimes from wrapped D3-branes
• New half supersymmetric solutions of the heterotic string
• Entanglement entropy of Wilson surfaces from bubbling geometries in M-theory
• Near BPS Wilson Loop in beta-deformed Theories
• Exact $\mathcal{N}=2^{\ast }$ Schur line defect correlators
• 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
• Fermionic impurities in Chern-Simons-matter theories
• Boundary condition for D-brane from Wilson loop, and gravitational interpretation of eigenvalue in matrix model in AdS/CFT correspondence
• Instantons, supersymmetric vacua, and emergent geometries
• Holographic Line Defects in $D=4$, $N=2$ Gauged Supergravity
• String Junctions and Holographic Interfaces
• Large rank Wilson loops in N=2 superconformal QCD at strong coupling
• Large $N$ and large representations of Schur line defect correlators
• Bubbling Calabi-Yau geometry from matrix models
• Geometry of open strings ending on backreacting D3-branes
• Heavy quark density in N=4 SYM: from hedgehog to Lifshitz spacetimes
• Exposing the threshold structure of loop integrals
• Strings in Bubbling Geometries and Dual Wilson Loop Correlators
• Tiny Graviton Matrix Theory/SYM Correspondence: Analysis of BPS States
• Gravity and On-Shell Probe Actions
• Detecting topology change via correlations and entanglement from gauge/gravity correspondence
• Coherent state operators, giant gravitons, and gauge-gravity correspondence
• Wilson Loops in 3d QFT from D-branes in AdS(4) x CP**3
• Holographic Surface Defects in $D=5$, $N=4$ Gauged Supergravity
• Strings on Bubbling Geometries
• Dressed Wilson Loops on S^2
• Phase Transition of Anti-Symmetric Wilson Loops in $\mathcal{N}=4$ SYM
• Excitations of bubbling geometries for line defects
• Fermionic Bogomolnyi-Prasad-Sommerfield Wilson loops in four-dimensional $\mathcal{N}=2$ superconformal gauge theories
• Holographic Nuclei : Supersymmetric Examples
• Note on Generalized Janus Configurations
• BPS Wilson loops in N=4 SYM: Examples on hyperbolic submanifolds of space-time
• Entanglement entropy of Wilson loops: Holography and matrix models
• Holographic entanglement entropy of surface defects
• Antisymmetric Wilson loops in N = 4 SYM: from exact results to non-planar corrections
• Correlator of Fundamental and Anti-symmetric Wilson Loops in AdS/CFT Correspondence
• Holographic Entropy and Calabi's Diastasis
• Half BPS states in AdS_5 x Y^{p,q}
• Rigidity of SU(2,2|2)-symmetric solutions in Type IIB
• ADHM Wilson line defect indices
• Interior analysis, stretched technique and bubbling geometries
• Baby Universes born from the Void
• Note on generating functions and connected correlators of 1/2-BPS Wilson loops in $\mathcal{N}=4$ SYM theory
• Wilson Loops from D-branes in AdS(4) X CP**3 with B-NS Holonomy
• Combinatorics of Wilson loops in $\mathcal{N}=4$ SYM theory
• $\mathcal{N}=4$ line defect correlators of type BCD
• 't Hooft Operators on an Interface and Bubbling D5-Branes
• Black branes with cosmological constant
• D-brane Description of New Open String Solutions in AdS(5)
• Exact 1/N expansion of Wilson loop correlators in $\mathcal{N}=4$ Super-Yang-Mills theory
• Holographic Operator Product Expansion of Loop Operators in $\mathcal{N}=4$ $SO(N)$ Super Yang-Mills Theory
• BIons in topological string theory
• Holographic Wilson Loop One-point Functions in ABJM Theory
• Near Horizon Geometry of Strings Ending on Intersecting D8/D4-branes
• From Surface Operators to Non-Abelian Volume Operators in Puff Field Theory
• On the D5-brane description of $\frac{1}{4}$-BPS Wilson loops in $\mathcal{N}=4$ super Yang-Mills theory