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arXiv · 0707.2699

Wilson loops: From four-dimensional SYM to two-dimensional YM

Nadav Drukker·Simone Giombi·Riccardo Ricci·Diego Trancanelli
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Abstract

In this note we study supersymmetric Wilson loops restricted to an S^2 submanifold of four-dimensional space in N=4 super Yang-Mills. 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 S^2 (excluding non-perturbative 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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Nadav Drukker, Simone Giombi, Riccardo Ricci, Diego Trancanelli. 2007-07-18. Wilson loops: From four-dimensional SYM to two-dimensional YM. https://doi.org/10.1103/physrevd.77.047901

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