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Wilson Loops in ${\cal N}=4$ Supersymmetric Yang-Mills Theory from Random Matrix Theory
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abstract
Based on the AdS/CFT correspondence, string theory has given exact predictions for circular Wilson loops in U(N) ${\cal N}=4$ supersymmetric Yang-Mills theory to all orders in a 1/N expansion. These Wilson loops can also be derived from Random Matrix Theory. In this paper we show that the result is generically insensitive to details of the Random Matrix Theory potential. We also compute all higher $k$-point correlation functions, which are needed for the evaluation of Wilson loops in arbitrary irreducible representations of U(N).
Forward citations
Cited by 2 Pith papers
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Genus-2 Holographic Correlator on $AdS_5 \times S^5$ from Localization
The genus-two D4R4 coefficient in the strongly coupled N=4 SYM stress-tensor correlator is fixed to 7/3072 by combining supersymmetric localization with the flat-space IIB S-matrix.
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Combinatorics of Wilson loops in $\mathcal{N}=4$ SYM theory
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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