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

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 Poincare 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. (C) 2022 The Authors. Published by Elsevier B.V.

Automated summary

This study examines the influence of a magnetic field on the chaotic dynamics of a string with endpoints on the boundary of an asymptotically AdS(5) space with a black hole. Poincare sections and Lyapunov exponents are used to analyze the string perturbed from a static configuration in two different orientations, with endpoints on the boundary either orthogonal or parallel to the magnetic field. The findings indicate that the magnetic field stabilizes the string dynamics, with the largest Lyapunov exponent remaining below the Maldacena-Shenker-Stanford bound.