Semiclassical String Solutions on 1/2 BPS Geometries

TL;DR

This paper investigates semiclassical string solutions in 1/2 BPS geometries with concentric rings, revealing that pulsating string dynamics are similar to AdS_5×S^5, and analyzes Wilson loops showing potential corrections.

Contribution

It provides the first analysis of semiclassical strings in concentric ring geometries and compares their dynamics and Wilson loop behavior to the well-known AdS_5×S^5 case.

Findings

Pulsating string dynamics remain unchanged in concentric ring geometries.

Wilson loop calculations show a correction to the 1/L potential behavior.

Qualitative similarity between geometries in string dynamics and gauge theory observables.

Abstract

We study semiclassical string solutions on the 1/2 BPS geometry of type IIB string theory characterized by concentric rings on the boundary plane. We consider both folded rotating strings carrying nonzero R-charge and circular pulsating strings. We find that unlike rotating strings, as far as circular pulsating strings are concerned, the dynamics remains qualitatively unchanged when the concentric rings replace AdS_5\times S^5. Using the gravity dual we have also studied the Wilson loop of the corresponding gauge theory. The result is qualitatively the same as that in AdS_5\times S^5 in the global coordinates where the corresponding gauge theory is defined on S^3\times R. We show that there is a correction to 1/L leading order behavior of the potential between external objects.