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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.

Journal

  • Journal of High Energy Physics

    Journal of High Energy Physics (2015), 2015-06

    Springer Berlin Heidelberg

Codes

  • NII Article ID (NAID)
    120005749909
  • NII NACSIS-CAT ID (NCID)
    AA1188279X
  • Text Lang
    ENG
  • Article Type
    journal article
  • ISSN
    1029-8479
  • Data Source
    IR 
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