TL;DR
This paper reviews the development of Nambu brackets, highlighting their natural role in describing extended objects in M-theory and fluid dynamics, and discusses their application in multiple M2-brane theories.
Contribution
It provides a concise overview of Nambu brackets' evolution and their significance in M-theory and related theoretical frameworks.
Findings
Nambu brackets naturally describe extended objects in M-theory.
Application of Nambu brackets in Bagger-Lambert-Gustavsson theory.
Emphasis on the role of Lie 3-algebras in multiple M2-branes.
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).
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