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

A bstract We construct the probe D5-brane solution in AdS 5 × S 5 dual to the 1/4 1 4 -BPS latitude Wilson loop in N N = 4 super Yang-Mills theory in the k -antisymmetric representation of SU( N ). The solution is exact in the latitude parameter θ 0 and correctly reproduces the 1/2 1 2 -BPS limit. We compute the string charge k and the renormalized on-shell action perturbatively to order O(θ₀¹⁰) O θ 0 10 and find full agreement with the expectation value of the Wilson loop predicted by the Gaussian matrix model in the limit N ∼ k → ∞, λ → ∞.