Chaos in the Gauge/Gravity Correspondence

TL;DR

This paper investigates chaotic dynamics of strings in Schwarzschild-AdS_5 backgrounds, revealing chaos through various dynamical systems tools and discussing implications for the gauge/gravity correspondence and the information loss paradox.

Contribution

It provides the first detailed analysis of chaos in string motion within AdS black hole backgrounds, linking chaos indicators to gauge/gravity duality.

Findings

Evidence of chaotic motion in string dynamics

Analysis of Lyapunov exponents and phase space structures

Potential implications for the information loss paradox

Abstract

We study the motion of a string in the background of the Schwarzschild black hole in AdS_5 by applying the standard arsenal of dynamical systems. Our description of the phase space includes: the power spectrum, the largest Lyapunov exponent, Poincare sections and basins of attractions. We find convincing evidence that the motion is chaotic. We discuss the implications of some of the quantities associated with chaotic systems for aspects of the gauge/gravity correspondence. In particular, we suggest some potential relevance for the information loss paradox.