On the quantization of Nambu brackets | Zendy

Hidetoshi Awata | Zendy; Miao Li | Zendy; Djordje Minić | Zendy; Tamiaki Yoneya | Zendy

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On the quantization of Nambu brackets

Author(s) -

Hidetoshi Awata,

Miao Li,

Djordje Minić,

Tamiaki Yoneya

Publication year - 2001

Publication title -

journal of high energy physics

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.998

H-Index - 261

eISSN - 1126-6708

pISSN - 1029-8479

DOI - 10.1088/1126-6708/2001/02/013

Subject(s) - bracket , quantization (signal processing) , quantum , mathematics , skew , jacobi identity , theoretical physics , algebra over a field , pure mathematics , physics , classical mechanics , quantum mechanics , lie algebra , engineering , algorithm , mechanical engineering , astronomy

We present several non-trivial examples of the three-dimensional quantumNambu bracket which involve square matrices or three-index objects. Ourexamples satisfy two fundamental properties of the classical Nambu bracket:they are skew-symmetric and they obey the Fundamental Identity. We contrast ourapproach to the existing literature on the quantum deformations of Nambumechanics. We also discuss possible applications of our results in M-theory.Comment: 18 pages, LaTeX fil

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