Semi-classical open string corrections and symmetric Wilson loops

Abstract

In the AdS/CFT correspondence, an AdS_2 x S^2 D3-brane with electric flux in AdS_5 x S^5 spacetime corresponds to a circular Wilson loop in the symmetric representation or a multiply wound one in N=4 super Yang-Mills theory. In order to distinguish the symmetric loop and the multiply wound loop, one should see an exponentially small correction in large 't Hooft coupling. We study semi-classically the disk open string attached to the D3-brane. We obtain the exponent of the term and it agrees with the result of the matrix model calculation of the symmetric Wilson loop.

14 pages, 4 figures. v2: explanation improved. v3: argument in section 2 is improved, result not changed

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Cited by in corpus (24)

• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• The Spectrum of Excitations of Holographic Wilson Loops
• The 1/N correction in the D3-brane description of circular Wilson loop at strong coupling
• One-loop Effective Action of the Holographic Antisymmetric Wilson Loop
• M5-branes and Wilson Surfaces
• Wilson Loops in 5d N=1 SCFTs and AdS/CFT
• Localization and AdS/CFT Correspondence
• One-loop Structure of Higher Rank Wilson Loops in AdS/CFT
• BPS Wilson Loops on S^2 at Higher Loops
• $1/N$ expansion of circular Wilson loop in $\mathcal{N}=2$ superconformal $SU(N)\times SU(N)$ quiver
• Exact $\mathcal{N}=2^{\ast }$ Schur line defect correlators
• A prediction for bubbling geometries
• Boundary condition for D-brane from Wilson loop, and gravitational interpretation of eigenvalue in matrix model in AdS/CFT correspondence
• Large $N$ and large representations of Schur line defect correlators
• Bubbling Calabi-Yau geometry from matrix models
• Holographic Wilson Loops in Symmetric Representations in N = 2* Super-Yang-Mills Theory
• Symmetric Wilson Loops beyond leading order
• Wilson loops in antisymmetric representations from localization in supersymmetric gauge theories
• Large $N$ expansion of Wilson loops in the Gross-Witten-Wadia matrix model
• Higher Rank Wilson Loops in N = 2* Super-Yang-Mills Theory
• Matrix models and non-Abelian T dual of $Ad{S}_5\times S^5$
• A tunneling picture of dual giant Wilson loop
• $\mathcal{N}=4$ line defect correlators of type BCD
• Interface line operators in $\mathcal{N}=4$ SYM theories and supersymmetric indices