We study the quantum properties of certain BPS Wilson loops in N = 4 supersymmetric Yang-Mills theory. They belong to a general family, introduced recently, in which the addition of particular scalar couplings endows generic loops on S3 with a fraction of supersymmetry. When restricted to S2, their quantum average has been further conjectured to be exactly computed by the matrix model governing the zero-instanton sector of YM2 on the sphere. We perform a complete two-loop analysis on a class of cusped Wilson loops lying on a two-dimensional sphere, finding perfect agreement with the conjecture. The perturbative computation reproduces the matrix-model expectation through a highly non-trivial interplay between ladder diagrams and self-energies/vertex contributions, suggesting the existence of a localization procedure.
Supersymmetric Wilson loops at two loops / A. BASSETTO; GRIGUOLO L.; F. PUCCI AND D. SEMINARA. - In: JOURNAL OF HIGH ENERGY PHYSICS. - ISSN 1126-6708. - 0806(2008), pp. 083-116. [10.1088/1126-6708/2008/06/083]
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