On the Quantization of Nambu Brackets

Details On the Quantization of Nambu Brackets On the Quantization of Nambu Brackets

1999-06-30

arxiv.org/abs/hep-th/9906248v1

JHEP 0102:013,2001

Physics

High Energy Physics

High Energy Physics - Theory

18 pages, LaTeX file

Scientific paper

10.1088/1126-6708/2001/02/013

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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