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On the Quantization of Nambu Brackets

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arxiv hep-th/9906248 v1 pith:QHHLAX4U submitted 1999-06-30 hep-th

Hidetoshi Awata , Miao Li , Djordje Minic , Tamiaki Yoneya This is my paper · ORCID
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keywords nambubracketexamplesfundamentalquantumtheyapplicationsapproach
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We present several non-trivial examples of the three-dimensional quantum Nambu bracket which involve square matrices or three-index objects. Our examples satisfy two fundamental properties of the classical Nambu bracket: they are skew-symmetric and they obey the Fundamental Identity. We contrast our approach to the existing literature on the quantum deformations of Nambu mechanics. We also discuss possible applications of our results in M-theory.

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Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Towards Quantizing Null p-branes: Light-Cone Gauge Analysis and Physical Hilbert Space

    hep-th 2024-12 conditional novelty 6.0 of 10

    Quantized null p-branes in light-cone gauge have physical Hilbert spaces split into p+1 classes of standing-wave states.

  2. Dynamics of the Density Cube

    quant-ph 2026-06 unverdicted novelty 5.0 of 10

    Derives an equation of motion for the density cube from ternary Nambu quantization, yielding oscillation between pairs of triple-path interferences.

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