Higher Rank ABJM Wilson Loops from Matrix Models

We compute the expectation values of 1/6 supersymmetric Wilson Loops in ABJM theory in higher rank representations. Using standard matrix model techniques, we calculate the expectation value in the rank $m$ fully symmetric and fully antisymmetric representation where $m$ is scaled with $N$. To leading order, we find agreement with the classical action of D6 and D2 branes in $AdS_4 \times \mathbb{CP}^3$ respectively. Further, we compute the first subleading order term, which, on the AdS side, makes a prediction for the one-loop effective action of the corresponding D6 and D2 branes.