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Chaos in the BMN matrix model

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Regular Article - Theoretical Physics
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Abstract

We study classical chaotic motions in the Berenstein-Maldacena-Nastase (BMN) matrix model. For this purpose, it is convenient to focus upon a reduced system composed of two-coupled anharmonic oscillators by supposing an ansatz. We examine three ansätze: 1) two pulsating fuzzy spheres, 2) a single Coulomb-type potential, and 3) integrable fuzzy spheres. For the first two cases, we show the existence of chaos by computing Poincaré sections and a Lyapunov spectrum. The third case leads to an integrable system. As a result, the BMN matrix model is not integrable in the sense of Liouville, though there may be some integrable subsectors.

Keywords

M(atrix) Theories Integrable Equations in Physics Penrose limit and pp-wave background 
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Copyright information

© The Author(s) 2015

Authors and Affiliations

  1. 1.Department of PhysicsKyoto UniversityKyotoJapan

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