Holography of Wilson-Loop Expectation Values with Local Operator Insertions

Abstract

We study the expectation values of Wilson-loop operators with the insertionsof local operators Z^J and Zbar^J with large R-charge J from the bulk viewpoint of AdS/CFT correspondence. Classical solutions of strings attached to such deformed Wilson loops at the conformal boundary are constructed and are applied to the computation of Wilson-loop expectation values. We argue that in order to have such solutions for general insertions at finite positions in the base spacetime of the gauge theory, it is crucial to interpret the holographic correspondence in the semi-classical picture as a tunneling phenomenon, as has been previously established for holographic computations of correlators of BMN operators. This also requires to use the Euclideanized AdS background and Euclidean super Yang-Mills theory.

16 pages, 5 figures, version to be published in JHEP, no change from the previous version, only extraneous figure file is removed

References in corpus (23)

• Gauge Theory Correlators from Non-Critical String Theory
• Strings in flat space and pp waves from $\mathcal{N}=4$ Super Yang Mills
• Wilson loops in large N field theories
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Wilson Loops in N=4 Supersymmetric Yang--Mills Theory
• An Exact Prediction of N=4 SUSYM Theory for String Theory
• Wilson Loops and Minimal Surfaces
• The Operator Product Expansion for Wilson Loops and Surfaces in the Large N Limit
• Supersymmetric Wilson loops
• Small deformations of supersymmetric Wilson loops and open spin-chains
• 1/4 BPS circular loops, unstable world-sheet instantons and the matrix model
• Gauge fields - strings duality and the loop equation
• More exact predictions of SUSYM for string theory
• Holographic Reformulation of String Theory on AdS_5 x S^5 background in the PP-wave limit
• Resolving the Holography in the Plane-Wave Limit of AdS/CFT Correspondence
• Wavy Wilson Line and AdS/CFT
• Open string fluctuations in AdS_5xS^5 and operators with large R-charge
• Comparing strings in AdS(5)xS(5) to planar diagrams: an example
• Impurity Non-Preserving 3-Point Correlators of BMN Operators from PP-Wave Holography II : Fermionic Excitations
• Impurity Non-Preserving 3-Point Correlators of BMN Operators from PP-Wave Holography I : Bosonic Excitations
• What is Holography in the Plane-Wave Limit of AdS/CFT Correspondence ?
• BMN Operators from Wilson Loop
• Holography in the Large J Limit of AdS/CFT Correspondence and Its Applications

Cited by in corpus (26)

• Half-BPS Wilson loop and AdS${}_2$/CFT${}_1$
• 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
• Holographic description of the Schwinger effect in electric and magnetic fields
• Direct test of the gauge-gravity correspondence for Matrix theory correlation functions
• Semiclassical four-point functions in AdS_5 x S^5
• On the D3-brane description of some 1/4 BPS Wilson loops
• A Semiclassical String Description of Wilson Loop with Local Operators
• Correlators of Vertex Operators for Circular Strings with Winding Numbers in AdS5xS5
• Correlation function of null polygonal Wilson loops with local operators
• Exact 1/4 BPS Loop - Chiral Primary Correlator
• Correlation function of circular Wilson loop with two local operators and conformal invariance
• Near BPS Wilson Loop in beta-deformed Theories
• On correlation functions of Wilson loops, local and non-local operators
• Boundary condition for D-brane from Wilson loop, and gravitational interpretation of eigenvalue in matrix model in AdS/CFT correspondence
• Phase transitions in Wilson loop correlator from integrability in global AdS
• Non-relativistic String and D-branes on AdS_5 x S^5 from Semiclassical Approximation
• Large Charges on the Wilson Loop in $\mathcal{N}=4$ SYM: Matrix Model and Classical String
• Semiclassical correlation functions of Wilson loops and local vertex operators
• Large Charges on the Wilson Loop in $\mathcal{N}=4$ SYM: II. Quantum Fluctuations, OPE, and Spectral Curve
• Extremal Correlator of Three Vertex Operators for Circular Winding Strings in AdS5xS5
• Semi-classical correlator for 1/4 BPS Wilson loop and chiral primary operator with large R-charge
• 1/2-BPS Correlators as c=1 S-matrix
• Scaling Dimensions in AdS/QCD and the Gluon Field Strength Propagator
• A tunneling picture of dual giant Wilson loop
• Holographic correlation functions of hexagon Wilson loops with one local operator