Circular Semiclassical String solutions on Confining AdS/CFT Backgrounds

TL;DR

This paper investigates various pulsating string and membrane solutions in different AdS/CFT backgrounds, deriving energy relations and exploring their implications for dual gauge theories.

Contribution

It introduces new circular pulsating string and membrane solutions in AdS/CFT backgrounds, analyzing their energy spectra and universality properties.

Findings

Energy of pulsating strings scales with quantum number n in a universal way.

Pulsating solutions are found in AdS black hole, D4-brane, and M-theory backgrounds.

Results suggest a connection between string dynamics and dual gauge theory states.

Abstract

We study multiwrapped circular string pulsating in the radial direction of AdS black hole. We compute the energy of this string as a function of a large quantum number n. One then could associate it with energy and a quantum number of states in the dual finite temperature {\cal N}=4 SYM theory as well as three dimensional pure gauge theory. We observe that the n dependence of the energy has a universal form. We have also considered pulsating string in the background of the near-extremal D4-brane solution. Circular pulsating membrane in M-theory on AdS_7\times S^4 has also been studied.