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arXiv · 2405.20391

On the D5-brane description of $\frac{1}{4}$-BPS Wilson loops in $\mathcal{N}=4$ super Yang-Mills theory

Alberto Faraggi·Cristobal Moreno
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Abstract

We construct the probe D5-brane solution in $AdS_5\times S^5$ dual to the $\frac{1}{4}$-BPS latitude Wilson loop in $\mathcal{N}=4$ super Yang-Mills theory in the $k$-antisymmetric representation of $SU(N)$. The solution is exact in the latitude parameter $\theta_0$ and correctly reproduces the $\frac{1}{2}$-BPS limit. We compute the string charge $k$ and the renormalized on-shell action perturbatively to order $\mathcal{O}\left(\theta_0^{10}\right)$ and find full agreement with the expectation value of the Wilson loop predicted by the Gaussian matrix model in the limit $N\sim k\to\infty$, $\lambda\to\infty$.

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Alberto Faraggi, Cristobal Moreno. 2024-05-30. On the D5-brane description of $\frac{1}{4}$-BPS Wilson loops in $\mathcal{N}=4$ super Yang-Mills theory. https://doi.org/10.1007/jhep07(2024)131

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