2019
DOI: 10.1007/jhep12(2019)150
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The bound on chaos for closed strings in Anti-de Sitter black hole backgrounds

Abstract: We perform a systematic study of the maximum Lyapunov exponent values λ for the motion of classical closed strings in Anti-de Sitter black hole geometries with spherical, planar and hyperbolic horizons. Analytical estimates from the linearized variational equations together with numerical integrations predict the bulk Lyapunov exponent value as λ ≈ 2πT n, where n is the winding number of the string. The celebrated bound on chaos stating that λ ≤ 2πT is thus systematically modified for winding strings in the bu… Show more

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Cited by 19 publications
(14 citation statements)
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“…α is wind number, which describes the differences between strings and particles. The integrability and chaos of strings with the above form have been well studied in [12,17,19,21,23,[35][36][37]. In this setup, we can explicitly write the Polyakov Lagrangian as…”
Section: Closed String Around Charged Hv Black Branesmentioning
confidence: 99%
See 3 more Smart Citations
“…α is wind number, which describes the differences between strings and particles. The integrability and chaos of strings with the above form have been well studied in [12,17,19,21,23,[35][36][37]. In this setup, we can explicitly write the Polyakov Lagrangian as…”
Section: Closed String Around Charged Hv Black Branesmentioning
confidence: 99%
“…Along this direction, the chaotic dynamics of the string have also been studied in more general geometries in [19][20][21][22][23]. In the dynamical system of string around neutral Gauss-Bonnet (GB) black hole, a critical value of GB parameter are found, below which the behavior of the system is no-chaotic and above which it gradually becomes chaotic.…”
Section: Introductionmentioning
confidence: 99%
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“…The Lyapunov exponent for certain trajectories is bounded by the surface gravity at the horizon of the spherically symmetric static black hole [12]. This relation has been studied further and challenged in several setups [13,14,15,16,17]. In another relevant direction it has been also proposed an interesting correspondence between the operator growth in chaotic theories, the complexity and the radial momenta of the particles falling in the AdS black hole, for example in [18,19,20,21,22].…”
Section: Introductionmentioning
confidence: 99%