Chaotic dynamics of a suspended string in a gravitational background with magnetic field

TL;DR

This paper investigates how magnetic fields influence the chaotic behavior of strings in a gravitational background, revealing that magnetic fields tend to stabilize string dynamics and reduce chaos.

Contribution

It provides a detailed analysis of the effects of magnetic fields on string chaos in AdS space, including Lyapunov exponents and Poincaré sections, with novel insights into stabilization mechanisms.

Findings

Magnetic field stabilizes string dynamics.

Largest Lyapunov exponent remains below chaos bound.

Orientation affects the degree of stabilization.

Abstract

We study the effects of a magnetic field on the chaotic dynamics of a string with endpoints on the boundary of an asymptotically AdS$_5$ space with black hole. We study Poincar\'e sections and compute the Lyapunov exponents for the string perturbed from the static configuration, for two different orientations, with position of the endpoints on the boundary orthogonal and parallel to the magnetic field. We find that the magnetic field stabilizes the string dynamics, with the largest Lyapunov exponent remaining below the Maldacena-Shenker-Stanford bound.