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

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arxiv 1906.03816 v2 pith:XWRZB7RB submitted 2019-06-10 hep-th

Anthonny F. Canazas Garay , Alberto Faraggi , Wolfgang Mück This is my paper · ORCID
classification hep-th
keywords loopswilsonconnectedcorrelatorsfunctionsgeneratinggroupmultiply-wound
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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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  1. Combinatorics of Wilson loops in $\mathcal{N}=4$ SYM theory

    hep-th 2019-08 conditional novelty 6.0 of 10

    The paper expresses connected correlators of multiply-wound Wilson loops in N=4 SYM through explicit matrix-trace formulas, including a new inverse relation verified numerically up to order eight.

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