A large spin limit of strings on AdS_5 x S^5 in a non-compact sector

TL;DR

This paper investigates the energy scaling of classical strings in AdS_5 x S^5, demonstrating the universal logarithmic S dependence in the SL(2) sector, which aligns with gauge theory predictions and broadens understanding of the AdS/CFT correspondence.

Contribution

It identifies the conditions under which the energy spectrum exhibits logarithmic scaling in the large S limit for classical strings, extending previous results to a broader class of solutions.

Findings

Logarithmic energy scaling is universal for finite gap solutions in the SL(2) sector.

The log S behavior matches the anomalous dimensions of low-twist gauge operators.

The results suggest a new perspective on the AdS/CFT correspondence in the large spin limit.

Abstract

We study the scaling law of the energy spectrum of classical strings on AdS_5 x S^5, in particular, in the SL(2) sector for large S (AdS spin) and fixed J (S^1 \subset S^5 spin). For any finite gap solution, we identify the limit in which the energy exhibits the logarithmic scaling in S, characteristic to the anomalous dimension of low-twist gauge theory operators. Our result therefore shows that the log S scaling, first observed by Gubser, Klebanov and Polyakov for the folded string, is universal also on the string side, suggesting another interesting window to explore the AdS/CFT correspondence as in the BMN/Frolov-Tseytlin limit.