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arXiv · 2209.05171

Chaotic string motion in a near pp-wave limit

Shodai Kushiro·Kentaroh Yoshida
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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.

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Shodai Kushiro, Kentaroh Yoshida. 2022-09-12. Chaotic string motion in a near pp-wave limit. https://doi.org/10.1007/jhep01(2023)065

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