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arXiv · 1906.03816

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

Anthonny F. Canazas Garay·Alberto Faraggi·Wolfgang Mück
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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 $1/N$.

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Anthonny F. Canazas Garay, Alberto Faraggi, Wolfgang Mück. 2019-06-10. Note on generating functions and connected correlators of 1/2-BPS Wilson loops in $\mathcal{N}=4$ SYM theory. https://doi.org/10.1007/jhep08(2019)149

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