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

We construct the probe D5-brane solution in AdS 5 × S 5 dual to the $$ \frac{1}{4} $$ 1 4 -BPS latitude Wilson loop in $$ \mathcal{N} $$ 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 $$ \frac{1}{2} $$ 1 2 -BPS limit. We compute the string charge k and the renormalized on-shell action perturbatively to order $$ \mathcal{O}\left({\theta}_0^{10}\right) $$ 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 → ∞.