Note on generating functions and connected correlators of 1/2-BPS Wilson loops in $\mathcal{N}=4$ SYM theory

Abstract

The generating functions for the Wilson loops in the symmetric and antisymmetric representations of the gauge group $U(N)$ are expressed in terms of the connected correlators of multiply-wound Wilson loops, using ingredients from the representation theory of the symmetric group. This provides a proof of a recent observation by Okuyama. As a by-product, we present a new calculation of the connected 2-point correlator of multiply-wound Wilson loops at leading order in $1/N$.

arXiv comment16 pages, v2: references added, changes in intro and conclusions, corrected typos

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Cited by in corpus (5)

• On the structure of non-planar strong coupling corrections to correlators of BPS Wilson loops and chiral primary operators
• Differential identities for the structure function of some random matrix ensembles
• Wilson loop correlators in $\mathcal{N}=2$ superconformal quivers
• Combinatorics of Wilson loops in $\mathcal{N}=4$ SYM theory
• Exact 1/N expansion of Wilson loop correlators in $\mathcal{N}=4$ Super-Yang-Mills theory