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The Parisi solution of the mean-field spin glass has been widely accepted andcelebrated. Its marginal stability in 3d and its complexity however raised thequestion of its relevance to real spin glasses. This paper gives a shortoverview of the important experimental results which could be understood withinthe mean-field solution. The existence of a true phase transition and theparticular behaviour of the susceptibility below the freezing temperature,predicted by the theory, are clearly confirmed by the experimental results. Thebehaviour of the complex order parameter and of the Fluctuation Dissipationratio are in good agreement with results of spontaneous noise measurements. Thevery particular ultrametric symmetry, the key feature of the theory, providedus with a simple description of the rejuvenation and memory effects observed inexperiment. Finally, going a step beyond mean-field, the paper shortlydiscusses new analyses in terms of correlated domains characterized by theirlength scales, as well as new experiments on superspin glasses which comparewell with recent theoretical simulations.

Real spin glasses relax slowly in the shade of hierarchical trees