We discuss two semiclassical string solutions on AdS_5\times S_5. In the
first case, we consider a multiwrapped circular string pulsating in the radial
direction of AdS_5, but fixed to a point on the S_5. We compute the energy of
this motion as a function of a large quantum number n. We identify the string
level with mn, where m is the number of string wrappings.
Using the AdS/CFT correspondence, we argue that the bare dimension of the
corresponding gauge invariant operator is 2n and that its anomalous dimension
scales as \lambda^{1/4}\sqrt{mn}, for large n. Next we consider a
multiwrapped circular string pulsating about two opposite poles of the S5​.
We compute the energy of this motion as a function of a large quantum number,
n where again the string level is given as mn. We find that the dimension
of the corresponding operator is 2n(1+f(m^2\lambda/(2n)^2)), where f(x) is
computible as a series about x=0 and where it is analytic. We also compare this
result to the BMN result for large J operators.Comment: 15 pages, LaTeX;v3 minor error fixed;v4 reference added, sec 4
clarified and expanded slightly; v5 corrected a term in 4.12 and 4.1