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Phase transition of anti-symmetric Wilson loops in N = 4 $$ \mathcal{N}=4 $$ SYM

Phase transition of anti-symmetric Wilson loops in N = 4 $$ \mathcal{N}=4 $$ SYM

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 …