On strong-coupling correlation functions of circular Wilson loops and local operators

Abstract

Motivated by the problem of understanding 3-point correlation functions of gauge-invariant operators in N =4 super Yang-Mills theory we consider correlators involving Wilson loops and a "light" operator with fixed quantum numbers. At leading order in the strong coupling expansion such correlators are given by the "light" vertex operator evaluated on a semiclassical string world surface ending on the corresponding loops at the boundary of AdS_5 x S^5. We study in detail the example of a correlator of two concentric circular Wilson loops and a dilaton vertex operator. The resulting expression is given by an integral of combinations of elliptic functions and can be computed analytically in some special limits. We also consider a generalization of the minimal surface ending on two circles to the case of non-zero angular momentum J in S^5 and discuss a special limit when one of the Wilson loops is effectively replaced by a "heavy" operator with charge J.

25 pages,v3:small changes

References in corpus (5)

• Strong-coupling expansion of cusp anomaly and gluon amplitudes from quantum open strings in AdS_5 x S^5
• On semiclassical computation of 3-point functions of closed string vertex operators in AdS_5 x S^5
• A Semiclassical String Description of Wilson Loop with Local Operators
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Cited by in corpus (16)

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• Correlation function of circular Wilson loop with two local operators and conformal invariance
• Strings in Bubbling Geometries and Dual Wilson Loop Correlators
• Three-point correlators: Examples from Lunin-Maldacena background
• 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
• Leading finite-size effects on some three-point correlators in AdS_5 x S^5
• Correlators of Hopf Wilson loops in the AdS/CFT correspondence
• Holographic correlation functions of hexagon Wilson loops with one local operator
• Splitting strings on integrable backgrounds
• On semiclassical four-point correlators in AdS_5 x S^5
• Holographic Wilson Loop One-point Functions in ABJM Theory