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

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 $SU(N)$. 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→∞.