Symmetric Wilson Loops beyond leading order

Abstract

We study the circular Wilson loop in the symmetric representation of U(N) in $\mathcal{N}=4$ super-Yang-Mills (SYM). In the large N limit, we computed the exponentially-suppressed corrections for strong coupling, which suggests non-perturbative physics in the dual holographic theory. We also computed the next-to-leading order term in 1/N, and the result matches with the exact result from the k-fundamental representation.

arXiv comment18 pages. v3: same text as the published version in SciPost, small changes respect older versions

References in corpus (15)

• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• Wilson Loops in N=4 Supersymmetric Yang--Mills Theory
• An Exact Prediction of N=4 SUSYM Theory for String Theory
• Holographic Wilson Loops
• All-genus calculation of Wilson loops using D-branes
• Wilson Loops of Anti-symmetric Representation and D5-branes
• Wilson Loops as D3-Branes
• Higher rank Wilson loops from a matrix model
• 1/4 BPS circular loops, unstable world-sheet instantons and the matrix model
• The Spectrum of Excitations of Holographic Wilson Loops
• The 1/N correction in the D3-brane description of circular Wilson loop at strong coupling
• Exact results for Wilson loops in arbitrary representations
• One-loop Structure of Higher Rank Wilson Loops in AdS/CFT
• Semi-classical open string corrections and symmetric Wilson loops
• Boundary condition for D-brane from Wilson loop, and gravitational interpretation of eigenvalue in matrix model in AdS/CFT correspondence

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• Antisymmetric Wilson loops in N = 4 SYM: from exact results to non-planar corrections
• Antisymmetric Wilson loops in $\mathcal{N}=4$ SYM beyond the planar limit
• Ironing out the crease
• Note on generating functions and connected correlators of 1/2-BPS Wilson loops in $\mathcal{N}=4$ SYM theory
• Large $N$ expansion of Wilson loops in the Gross-Witten-Wadia matrix model
• Combinatorics of Wilson loops in $\mathcal{N}=4$ SYM theory
• Comments on Higher Rank Wilson Loops in $\mathcal{N}=2^{\ast }$
• Exact 1/N expansion of Wilson loop correlators in $\mathcal{N}=4$ Super-Yang-Mills theory