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

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

2007-07-18

arxiv.org/abs/0707.2699v1

Phys.Rev.D77:047901,2008

Physics

High Energy Physics

High Energy Physics - Theory

9 pages, LaTeX

Scientific paper

10.1103/PhysRevD.77.047901

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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