Circular semiclassical string solutions on AdS5×S5

Abstract

We discuss two semiclassical string solutions on AdS5×S5. In the first case, we consider a multiwrapped circular string pulsating in the radial direction of AdS5, but fixed to a point on the S5. 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 λ1/4mn, for large n. Next we consider a multiwrapped circular string pulsating on 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(m2λ/(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.