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.

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

References in corpus (6)

• Holographic Wilson Loops
• Wilson Loops of Anti-symmetric Representation and D5-branes
• The Spectrum of Excitations of Holographic Wilson Loops
• The 1/N correction in the D3-brane description of circular Wilson loop at strong coupling
• 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

Cited by in corpus (5)

• Wilson loops in terms of color invariants
• Strings in Bubbling Geometries and Dual Wilson Loop Correlators
• Phase Transition of Anti-Symmetric Wilson Loops in $\mathcal{N}=4$ SYM
• Large $N$ expansion of Wilson loops in the Gross-Witten-Wadia matrix model
• Exact 1/N expansion of Wilson loop correlators in $\mathcal{N}=4$ Super-Yang-Mills theory