't Hooft Expansion of 1/2 BPS Wilson Loop

Abstract

We revisit the 't Hooft expansion of 1/2 BPS circular Wilson loop in N=4 SYM studied by Drukker and Gross in hep-th/0010274. We find an interesting recursion relation which relates different number of holes on the worldsheet. We also argue that we can turn on the string coupling by applying a certain integral transformation to the planar result.

21 pages; v2: minor corrections

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Cited by in corpus (5)

• Localization of gauge theory on a four-sphere and supersymmetric Wilson loops
• On the structure of non-planar strong coupling corrections to correlators of BPS Wilson loops and chiral primary operators
• On topological recursion for Wilson loops in $\mathcal{N}=4$ SYM at strong coupling
• 't Hooft expansion of $SO(N)$ and $Sp(N)$ $\mathcal{N}=4$ SYM revisited
• Loop equations for generalised eigenvalue models