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arXiv · 1503.04594

Chaos in the BMN matrix model

Yuhma Asano·Daisuke Kawai·Kentaroh Yoshida
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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 ans\"atze: 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 Poincar\'e 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.

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Yuhma Asano, Daisuke Kawai, Kentaroh Yoshida. 2015-03-16. Chaos in the BMN matrix model. https://doi.org/10.1007/jhep06(2015)191

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