Chaotic string motion in a near pp-wave limit

Autor:	Kushiro, Shodai, Yoshida, Kentaroh
Rok vydání:	2022
Předmět:	High Energy Physics - Theory Nonlinear Sciences - Chaotic Dynamics
Druh dokumentu:	Working Paper
DOI:	10.1007/JHEP01(2023)065
Popis:	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. Comment: 17 pages, 5 figures
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/2209.05171 Zobrazit plný text záznamu View this record from Arxiv