Folded Three-Spin String Solutions in AdS_5 x S^5

TL;DR

This paper constructs a three-spin folded string solution in AdS_5 x S^5, analyzing its energy behavior for different spin regimes and revealing non-regular expansions in the 't Hooft coupling, with regularity emerging at large S^5 spin.

Contribution

It introduces a new three-spin folded string solution in AdS_5 x S^5 and analyzes its energy behavior across different spin limits, highlighting novel scaling properties.

Findings

Logarithmic energy behavior for small S^5 spin

One-third power energy behavior for large AdS_5 spin

Non-regular expansion in the 't Hooft coupling, regular at large S^5 spin

Abstract

We construct a spinning closed string solution in AdS_5 x S^5 which is folded in the radial direction and has two equal spins in AdS_5 and a spin in S^5. The energy expression of the three-spin solution specified by the folding and winding numbers for the small S^5 spin shows a logarithmic behavior and a one-third power behavior of the large total AdS_5 spin, in the long string and in the short string located near the boundary of AdS_5 respectively. It exhibits the non-regular expansion in the 't Hooft coupling constant, while it takes the regular one when the S^5 spin becomes large.