Melnikov's method in String Theory

• 吉田, 健太郎

• Kyono, Hideki

• Yoshida, Kentaroh

抄録

Melnikov's method is an analytical way to show the existence of classical chaos generated by a Smale horseshoe. It is a powerful technique, though its applicability is somewhat limited. In this paper, we present a solution of type IIB supergravity to which Melnikov's method is applicable. This is a brane-wave type deformation of the AdS5×S5 background. By employing two reduction ansätze, we study two types of coupled pendulum-oscillator systems. Then the Melnikov function is computed for each of the systems by following the standard way of Holmes and Marsden and the existence of chaos is shown analytically.

収録刊行物

• Journal of High Energy Physics

  Journal of High Energy Physics 2016 2016-09-16

  Springer Verlag

キーワード

• AdS-CFT Correspondence
• Gauge-gravity correspondence
• Sigma Models

詳細情報

• CRID: 1050001335838356352
• NII論文ID: 120005853262
• ISSN: 10298479
• DOI: 10.1007/jhep09(2016)103
• HANDLE: 2433/217077
• Web Site: http://link.springer.com/content/pdf/10.1007/JHEP09(2016)103.pdf
• 本文言語コード: en
• 資料種別: journal article
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