Abstract
In the planar \( \mathcal{N} = 4 \) 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 AdS 3. 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.
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Del Duca, V., Duhr, C. & Smirnov, V.A. A two-loop octagon Wilson loop in \( \mathcal{N} = 4 \) SYM. J. High Energ. Phys. 2010, 15 (2010). https://doi.org/10.1007/JHEP09(2010)015
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DOI: https://doi.org/10.1007/JHEP09(2010)015