The fate of chaotic strings in a confining geometry

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.

23 pages, 10 figures

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• The bound on chaos for closed strings in Anti-de Sitter black hole backgrounds
• Chaotic dynamics of string around charged black brane with hyperscaling violation
• A bound on energy dependence of chaos
• Chaotic spin chains in AdS/CFT
• Constraining integrable AdS/CFT with factorized scattering
• Chaotic dynamics of a suspended string in a gravitational background with magnetic field
• Chaotic string dynamics in deformed $T^{1,1}$
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• Interplay of magnetic field and chemical potential induced anisotropy and frame dependent chaos of a $Q\bar{Q}$ pair in holographic QCD
• Classical and quantum chaos of closed strings on a charged confining holographic background
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• Non-Integrability of Strings in $Ad{S}_6\times S^2\times \Sigma$ Background and its 5D Holographic Duals