In the planar N = 4 supersymmetric Yang-Mills theory at weak coupling, we perform the first analytic computation of a two-loop eight-edged Wilson loop embedded into the boundary of AdS3. Its remainder function is given as a function of uniform transcendental weight four in terms of a constant plus a product of four logarithms. We compare to the strong-coupling result, and test a conjecture on the universality of the remainder function proposed in the literature.
Del Duca, V., Duhr, C., & Smirnov, V. A. (2010). A two-loop octagon Wilson loop in N = 4 SYM. Journal of High Energy Physics, 2010(9), 15. https://doi.org/10.1007/JHEP09(2010)015 (Original work published 2010)