Wilson loops on the Coulomb branch of $N=4$ super-Yang-Mills

Jarne Moens; Konstantin Zarembo

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arXiv · 2512.05514

Wilson loops on the Coulomb branch of $N=4$ super-Yang-Mills

Jarne Moens·Konstantin Zarembo

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Abstract

We study Wilson loops on the Coulomb branch of $N = 4$ super-Yang-Mills theory, by solving for minimal surfaces that connect the contour on the boundary with the D3-brane in the bulk of AdS$_5 \times S^5$. The circular loop undergoes the Gross-Ooguri transition as a function of the radius and angular separation, and we fully map its phase diagram. As a byproduct we find evidence that the expectation value of the straight line is tree-level exact.

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Jarne Moens, Konstantin Zarembo. 2025-12-05. Wilson loops on the Coulomb branch of $N=4$ super-Yang-Mills. https://arxiv.org/abs/2512.05514

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