Supersymmetric Wilson loops and AdS/CFT: Lessons from N = 4 SYM and N = 6 Chern-Simons theory

We will review the two paradigmatic examples of AdS/CFT: maximally supersymmetric N=4 super Yang-Mills in 4d and N=6 supersymmetric Chern-Simons in 3d. We will discuss supersymmetric Wilson loops (WL) in these theories and their exact computation in gauge theory via Localization techniques. We will turn to the string side and show how to reproduce the WL strong coupling expansion from semiclassical string worldsheets.