Comparing strings in AdS(5)xS(5) to planar diagrams: an example

Abstract

The correlator of a Wilson loop with a local operator in N=4 SYM theory can be represented by a string amplitude in AdS(5)xS(5). This amplitude describes an overlap of the boundary state, which is associated with the loop, with the string mode, which is dual to the local operator. For chiral primary operators with a large R charge, the amplitude can be calculated by semiclassical techniques. We compare the semiclassical string amplitude to the SYM perturbation theory and find an exact agrement to the first two non-vanishing orders.

16 pages, 4 figures, LaTeX; v2: typos corrected; v3: clarification of boundary conditions at infinity added

References in corpus (20)

• Large N Field Theories, String Theory and Gravity
• 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
• A semi-classical limit of the gauge/string correspondence
• 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
• A New Double-Scaling Limit of N=4 Super Yang-Mills Theory and PP-Wave Strings
• PP-wave string interactions from perturbative Yang-Mills theory
• Exact anomalous dimensions of {\cal N}=4 Yang-Mills operators with large R charge
• Operators with large R charge in N=4 Yang-Mills theory
• Supersymmetric Wilson loops
• More exact predictions of SUSYM for string theory
• Wilson loops in SYM theory: from weak to strong coupling
• Open string fluctuations in AdS_5xS^5 and operators with large R-charge
• Instanton corrections to circular Wilson loops in N=4 Supersymmetric Yang-Mills
• Wilson loops in N=4 SYM theory: rotation in S5
• Structure of the Electric Flux in N=4 Supersymmetric Yang-Mills Theory

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• BMN Operators from Wilson Loop
• Semiclassical correlation functions of Wilson loops and local vertex operators
• Three-Point Correlator of Heavy Vertex Operators for Circular Winding Strings in AdS5xS5
• 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
• Wilson loop correlators in $\mathcal{N}=2$ superconformal quivers
• Holographic correlation functions of hexagon Wilson loops with one local operator
• The AdS/CFT Correspondence: Classical, Quantum, and Thermodynamical Aspects