The fate of chaotic strings in a confining geometry

TL;DR

This paper investigates chaotic dynamics of classical closed strings in a five-dimensional AdS soliton spacetime, revealing turbulent behaviors, energy transfer mechanisms, and universal spectral scalings in the context of string turbulence.

Contribution

It provides a detailed analysis of chaos and turbulence in classical strings within AdS soliton backgrounds, including spectral scaling laws and internal spin transfer mechanisms.

Findings

Strings exhibit sensitivity to initial conditions indicating chaos.

Turbulent behavior causes energy transfer from orbital angular momentum to internal spin.

Universal power-law spectra characterize the turbulent states.

Abstract

We study chaotic motion of classical closed strings in the five-dimensional Anti-de Sitter (AdS) soliton spacetime. We first revisit classical chaos using a cohomogeneity-1 string ansatz. We then consider turbulent behaviors of the classical strings when the spatial dependence of the string world-sheet is included. Sensitivity to initial conditions in chaotic systems suggests that the string under chaos tends to stretch in the AdS soliton spacetime in a Lyapunov timescale. In this process, the orbital angular momentum transfers to internal spin due to the turbulence on the string. It follows that the string stays around the tip of the AdS soliton with a jumbled profile. We evaluate the spectra of conserved quantities and discuss their universal power-law scalings in the turbulent behaviors.