On the Quantization of Nambu Brackets
高能物理 - 理论
2010-02-03 v1
摘要
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.
关键词
引用
@article{arxiv.hep-th/9906248,
title = {On the Quantization of Nambu Brackets},
author = {Hidetoshi Awata and Miao Li and Djordje Minic and Tamiaki Yoneya},
journal= {arXiv preprint arXiv:hep-th/9906248},
year = {2010}
}
备注
18 pages, LaTeX file