On Rotating and Oscillating Four-Spin Strings in AdS5 X S5

TL;DR

This paper investigates rotating and oscillating string solutions in AdS5 x S5, deriving dispersion relations and exploring limits that relate to giant magnon and spiky strings, including an example of oscillating strings in the background.

Contribution

It presents new solutions of rotating and oscillating strings in AdS5 x S5, deriving their dispersion relations and interpreting them as known string configurations.

Findings

Derived dispersion relations among string charges.

Identified limits corresponding to giant magnon and spiky strings.

Constructed an oscillating string solution in AdS5 x S5.

Abstract

We study rigidly rotating strings in AdS5 X S5 background with one spin along AdS5 and three angular momenta along S5. We find dispersion relations among various charges and interpret them as giant magnon and spiky string solutions in various limits. Further we present an example of oscillating string which oscillates in the radial direction of the AdS5 and at the same time rotates in S5.