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Phase Transition of Anti-Symmetric Wilson Loops in $\mathcal{N}=4$ SYM
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abstract
We will argue that the 1/2 BPS Wilson loops in the anti-symmetric representations in the $\mathcal{N}=4$ super Yang-Mills (SYM) theory exhibit a phase transition at some critical value of the 't Hooft coupling of order $N^2$. In the matrix model computation of Wilson loop expectation values, this phase transition corresponds to the transition between the one-cut phase and the two-cut phase. It turns out that the one-cut phase is smoothly connected to the small 't Hooft coupling regime and the $1/N$ corrections of Wilson loops in this phase can be systematically computed from the topological recursion in the Gaussian matrix model.
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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