Chaos in the gauge/gravity correspondence
Copyright policy )Chaos in the gauge/gravity correspondence
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.
29 pages, 11 figures
- University of Michigan–Ann Arbor United States
- University of Colima Mexico
- University of Michigan–Flint United States
High Energy Physics - Theory, gauge-gravity correspondence, Black holes, FOS: Physical sciences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, black holes in string theory, Yang-Mills and other gauge theories in quantum field theory, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, AdS-CFT correspondence, High Energy Physics - Theory (hep-th), Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems, Gravitational interaction in quantum theory
High Energy Physics - Theory, gauge-gravity correspondence, Black holes, FOS: Physical sciences, String and superstring theories; other extended objects (e.g., branes) in quantum field theory, black holes in string theory, Yang-Mills and other gauge theories in quantum field theory, Strange attractors, chaotic dynamics of systems with hyperbolic behavior, AdS-CFT correspondence, High Energy Physics - Theory (hep-th), Attractors and their dimensions, Lyapunov exponents for infinite-dimensional dissipative dynamical systems, Gravitational interaction in quantum theory
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