Pulsating Strings on AdS_5 x S^5

TL;DR

The paper analyzes a pulsating string on AdS_5 with center-of-mass rotation on S^5, comparing the 1-loop anomalous dimension from the gauge theory to the first-order energy correction on the string side. Using an SO(2,2) spin-chain map on the gauge side and a sigma-model/Lax formalism on the string side, it derives matching results for the anomalous dimension and conserved charges. A key result is that the gauge and string descriptions share the same resolvent and quasi-momentum structures, illustrating integrability as a bridge across the duality. The authors further show that the AdS_5 pulsating solution is related by analytic continuation to a pulsating string on S^5, linking the two isometry groups $SO(4,2)$ and $SO(6)$ and their associated operator families.

Abstract

We find the anomalous dimension and the conserved charges of an R-charged string pulsating on AdS_5. The analysis is performed both on the gauge and string side, where we find agreement at the one-loop level. Furthermore, the solution is shown to be related by analytic continuation to a string which is pulsating on S^5, thus providing an example of the close relationship between the respective isometry groups.