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Yang-Mills Duals for Semiclassical Strings

We consider a semiclassical multiwrapped circular string pulsating on S_5, whose center of mass has angular momentum J on an S_3 subspace. Using the AdS/CFT correspondence we argue that the one-loop anomalous dimension of the dual operator is a simple rational function of J/L, where J is the R-charge and L is the bare dimension of the operator. We then reproduce this result directly from a super Yang-Mills computation, where we make use of the integrability of the one-loop system to set up an integral equation that we solve. We then verify the results of Frolov and Tseytlin for circular rotating strings with R-charge assignment (J&#39;,J&#39;,J). In this case we solve for an integral equation found in the O(-1) matrix model when J&#39;< J and the O(+1) matrix model if J&#39;> J. The latter region starts at J&#39;=L/2 and continues down, but an apparent critical point is reached at J&#39;=4J. We argue that the critical point is just an artifact of the Bethe ansatz and that the conserved charges of the underlying integrable model are analytic for all J&#39; and that the results from the O(-1) model continue onto the results of the O(+1) model.