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Unstable D-particles in type-IIB string theory correspond to sphaleronsolutions in the dual gauge theory. We construct an explicit time-dependentsolution for the sphaleron decay on S^3 x R, as well as the coherent statecorresponding to the decay product. We develop a method to count the number ofbulk particles in the AdS/CFT setup. When applied to our coherent state, thenaive number operator O^\dagger O is shown to be inappropriate, even in thelarge-N limit. The reason is that the final state consists of a large number ofparticles. By computing all probabilities for finding multi-particle states inthe coherent state, we deduce the bulk particle content of the final state ofthe sphaleron decay. The qualitative features of this spectrum are comparedwith the results expected from the gravity side, and agreement is found.Comment: 17 pages, 5 figures; v2: minor additions to the text, typos fixed,  references added, version to appear in Phys. Rev.

AdS/CFT description of D-particle decay