Prospects of the Nambu bracket. (30th June 2016)

• Record Type: Journal Article
• Authors: Kiyoshige, Kazuki; Moriyama, Sanefumi; Yano, Katsuya
• Is Part Of: Progress of theoretical and experimental physics. Volume 2016:Number 6(2016:Jun.)
• Publication Date: 2016-06-30
• Subjects: B10 -- B25 -- B83; Physics -- Periodicals; Mathematical physics -- Periodicals; 530.05
• DOI: 10.1093/ptep/ptw070
• Languages: English
• ISSNs: 2050-3911

Abstract

Abstract: We review recent progress in formulating the worldvolume theory of M2-branes using the Nambu bracket.Although it is generally agreed that this formulation should be replaced by another using the superconformal Chern–Simons theory, we try to pursue a possible complementary role played by the Nambu bracket.Since the partition function of the superconformal Chern–Simons theory implies a hidden super gauge group, we study the supersymmetric generalization of the Nambu bracket.We explicitly construct the superunitary Nambu algebra.