Antisymmetric Wilson loops in N = 4 SYM: from exact results to non-planar corrections

Alberto Faraggi; Anthonny F. Canazas Garay; Wolfgang M\"uck

Antisymmetric Wilson loops in N = 4 SYM: from exact results to non-planar corrections

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arxiv 1807.04052 v2 pith:AUCUDPFY submitted 2018-07-11 hep-th

Anthonny F. Canazas Garay , Alberto Faraggi , Wolfgang Mück This is my paper · ORCID

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We consider the vacuum expectation values of 1/2-BPS circular Wilson loops in N=4 super Yang-Mills theory in the totally antisymmetric representation of the gauge group U(N) or SU(N). Localization and matrix model techniques provide exact, but rather formal, expressions for these expectation values. In this paper we show how to extract the leading and sub-leading behavior in a 1/N expansion with fixed 't Hooft coupling starting from these exact results. This is done by exploiting the relation between the generating function of antisymmetric Wilson loops and a finite-dimensional quantum system known as the truncated harmonic oscillator. Sum and integral representations for the 1/N terms are provided.

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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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