2016/05/03 by Marco S. Bianchi · 1 citation
Engineering · Mathematics · Physics and Astronomy · #Algorithm #Black Holes and Theoretical Physics #Computation #Computer science #Engineering #Framing (construction) #Gauge theory #Mathematical physics #Mathematics #Particle physics theoretical and experimental studies #Physics #Planar #Pure mathematics #Quantum Chromodynamics and Particle Interactions #Structural engineering #Wilson loop #hep-th
paper · pdf · doi:10.1007/jhep09(2016)047
40 pages
arxiv created 2016/05/03 · openalex publication_date 2016/09/01 · arxiv updated 2016/10/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
We consider BPS Wilson loops in planar ABJM theory, wound multiple times around the great circle. We compute the expectation value of the 1/6-BPS and 1/2-BPS Wilson loops to three- and two-loop order in perturbation theory, respectively, dealing with the combinatorics of multiple winding via recursive relations. For the 1/6-BPS Wilson loop we perform the computation at generic framing and at framing 1 we find agreement with the localization result. For the 1/2-BPS Wilson loop we compute the expectation value at trivial framing and by comparison with the matrix model expression we extract the framing dependence of the fermion diagrams.