Pulsating Strings on AdS_5 x S^5

TL;DR

This paper investigates pulsating strings on AdS_5 x S^5, calculating their anomalous dimensions and conserved charges, and demonstrates the relationship between pulsating strings on AdS_5 and S^5 through analytic continuation, with results matching at one-loop level.

Contribution

It provides a detailed analysis of pulsating strings on AdS_5 x S^5, including anomalous dimensions and conserved charges, and establishes a connection to pulsating strings on S^5 via analytic continuation.

Findings

Agreement of anomalous dimensions at one-loop level between gauge and string sides.

Identification of a relationship between pulsating strings on AdS_5 and S^5.

Explicit analytic continuation linking pulsating strings on AdS_5 and S^5.

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.