Abstract
We study chaotic motions of a classical string in a near Penrose limit of AdS5 × T 1,1. It is known that chaotic solutions appear on R ×T 1,1, depending on initial conditions. It may be interesting to ask whether the chaos persists even in Penrose limits or not. In this paper, we show that sub-leading corrections in a Penrose limit provide an unstable separatrix, so that chaotic motions are generated as a consequence of collapsed KolmogorovArnold-Moser (KAM) tori. Our analysis is based on deriving a reduced system composed of two degrees of freedom by supposing a winding string ansatz. Then, we provide support for the existence of chaos by computing Poincaré sections. In comparison to the AdS5 ×T 1,1 case, we argue that no chaos lives in a near Penrose limit of AdS5×S5, as expected from the classical integrability of the parent system.
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Asano, Y., Kawai, D., Kyono, H. et al. Chaotic strings in a near Penrose limit of AdS5 × T1,1. J. High Energ. Phys. 2015, 60 (2015). https://doi.org/10.1007/JHEP08(2015)060
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DOI: https://doi.org/10.1007/JHEP08(2015)060