The Operator Product Expansion for Wilson Loops and Surfaces in the Large N Limit

Abstract

The operator product expansion for ``small'' Wilson loops in {\cal N}=4, d=4 SYM is studied. The OPE coefficients are calculated in the large N and g_{YM}^2 N limit by exploiting the AdS/CFT correspondence. We also consider Wilson surfaces in the (0,2), d=6 superconformal theory. In this case, we find that the UV divergent terms include a term proportional to the rigid string action.

22 pages LaTeX2e, using utarticle.cls (included) and AMS-LaTeX macros

References in corpus (11)

• Gauge Theory Correlators from Non-Critical String Theory
• Wilson loops in large N field theories
• Macroscopic strings as heavy quarks: Large-N gauge theory and anti-de Sitter supergravity
• Correlation functions in the CFT(d)/AdS(d+1) correpondence
• The Holographic Bound in Anti-de Sitter Space
• Three-Point Functions of Chiral Operators in D=4, $\mathcal{N}=4$ SYM at Large N
• Holographic Probes of Anti-de Sitter Spacetimes
• Aspects of Large N Gauge Theory Dynamics as Seen by String Theory
• Conformal Field Theory Correlators from Classical Scalar Field Theory on $Ad{S}_{d+1}$
• R-Current Correlators in N=4 Super Yang-Mills Theory from Anti-de Sitter Supergravity
• The Large N Limit of the (2,0) Superconformal Field Theory

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• Flux-Tube Formation and Holographic Tunneling
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• BPS surface observables in six-dimensional (2,0) theory
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• Holographic Operator Product Expansion of Loop Operators in $\mathcal{N}=4$ $SO(N)$ Super Yang-Mills Theory
• The AdS/CFT Correspondence: Classical, Quantum, and Thermodynamical Aspects
• Wilson Loops and Integrability
• Tenfold Way for Holography : AdS/CFT and Beyond
• Bubble quenches in the AdS/BCFT model
• Holographic Wilson Loop One-point Functions in ABJM Theory
• On semiclassical four-point correlators in AdS_5 x S^5
• Conformal Transformations, Rotating String and Effects of angular velocity on Accelerating Quark-Antiquark pair in $Ad{S}_3$
• Confinement of N=1 Super Yang-Mills from Supergravity
• String Theory and Turbulence
• Two-Point Correlator of Chiral Primary Operators with a Wilson Line Defect in $\mathcal{N}=4$ SYM
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