Chaotic string motion in a near pp-wave limit

Abstract

We revisit classical string motion in a near pp-wave limit of AdS${}_5\times$S${}^5$. It is known that the Toda lattice models are integrable. But if the exponential potential is truncated at finite order, then the system may become non-integrable. In particular, when the exponential potential in a three-particle periodic Toda chain is truncated at the third order of the dynamical variables, the resulting system becomes a well-known non-integrable system, Henon-Heiles model. The same thing may happen in a near pp-wave limit of AdS${}_5\times$S${}^5$, on which the classical string motion becomes chaotic.

arXiv comment17 pages, 5 figures

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Cited by in corpus (1)

• Turbulence on open string worldsheets under non-integrable boundary conditions