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In this paper we study supersymmetric Wilson loops restricted to an S² submanifold of four-dimensional space in N=4 super Yang-Mills theory. We provide evidence from both perturbation theory and the AdS dual that those loops are equal to the analogous observables in two-dimensional Yang-Mills on S² (excluding nonperturbative contributions). This relates a subsector of N=4 SYM to a low-dimensional soluble model and also suggests that this subsector of N=4 SYM is invariant under area preserving diffeomorphisms.
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Drukker et al. (2008) studied this question.
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