Chaotic strings in a near Penrose limit of AdS^sub 5^ × T^sup 1,1

Abstract We study chaotic motions of a classical string in a near Penrose limit of AdS^sub 5^ × T ^sup 1,1^. It is known that chaotic solutions appear on R ×T ^sup 1,1^, depending on initial conditions. It may be interesting to ask whether the chaos persists even in Penrose limits or not. In this pa...

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Bibliographic Details
Published in:The journal of high energy physics 2015-08, Vol.2015 (8), p.1
Main Authors: Asano, Yuhma, Kawai, Daisuke, Kyono, Hideki, Yoshida, Kentaroh
Format: Article
Language:English
Subjects:
High energy physics
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Summary:Abstract We study chaotic motions of a classical string in a near Penrose limit of AdS^sub 5^ × T ^sup 1,1^. It is known that chaotic solutions appear on R ×T ^sup 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 AdS^sub 5^ ×T ^sup 1,1^ case, we argue that no chaos lives in a near Penrose limit of AdS^sub 5^×S^sup 5^, as expected from the classical integrability of the parent system.
ISSN:1029-8479
DOI:10.1007/JHEP08(2015)060