English

Prospects of the Nambu Bracket

High Energy Physics - Theory 2016-05-23 v2

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.

Keywords

Cite

@article{arxiv.1604.02841,
  title  = {Prospects of the Nambu Bracket},
  author = {Kazuki Kiyoshige and Sanefumi Moriyama and Katsuya Yano},
  journal= {arXiv preprint arXiv:1604.02841},
  year   = {2016}
}

Comments

16 pages, 2 figures, contribution to the proceedings of Yoichiro Nambu Memorial Symposium at Osaka City University; v2: title modified, references added, published version

R2 v1 2026-06-22T13:29:10.100Z