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.
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ArXiv ePrint: 1709.04166
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Okuyama, K. Phase transition of anti-symmetric Wilson loops in \( \mathcal{N}=4 \) SYM. J. High Energ. Phys. 2017, 125 (2017). https://doi.org/10.1007/JHEP12(2017)125
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DOI: https://doi.org/10.1007/JHEP12(2017)125