English

Nambu bracket and M-theory

High Energy Physics - Theory 2019-12-06 v2

Abstract

Nambu proposed an extension of dynamical system through the introduction of a new bracket (Nambu bracket) in 1973. This article is a short review of the developments after his paper. Some emphasis are put on a viewpoint that the Nambu bracket naturally describes extended objects which appear in M-theory and the fluid dynamics. The latter part of the paper is devoted to a review of the studies on the Nambu bracket (Lie 3-algebra) in Bagger-Lambert-Gustavsson theory of multiple M2-branes. This paper is a contribution to the proceedings of Nambu memorial symposium (Osaka City University, September 29, 2015).

Cite

@article{arxiv.1603.09534,
  title  = {Nambu bracket and M-theory},
  author = {Pei-Ming Ho and Yutaka Matsuo},
  journal= {arXiv preprint arXiv:1603.09534},
  year   = {2019}
}

Comments

25 pages, contribution to the proceedings of Nambu memorial symposium, Osaka City University, September 29, 2015, v2 minor modifications

R2 v1 2026-06-22T13:22:14.411Z