On the D5-brane description of 1/4-BPS Wilson loops in 𝒩=4 super Yang-Mills theory

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2024
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We construct the probe D5-brane solution in 𝐴𝑑𝑆5 ×𝑆5 dual to the 1/4-BPS latitude Wilson loop in 𝒩=4 super Yang-Mills theory in the 𝑘-antisymmetric representation of 𝑆⁢𝑈(𝑁). The solution is exact in the latitude parameter 𝜃0 and correctly reproduces the 1/2-BPS limit. We compute the string charge 𝑘 and the renormalized on-shell action perturbatively to order 𝒪(𝜃010) and find full agreement with the expectation value of the Wilson loop predicted by the Gaussian matrix model in the limit 𝑁∼𝑘→∞, 𝜆→∞.
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Journal of High Energy Physics. 2024 Jul 15;2024(7):131