On the quantization of Nambu brackets

Authors
Awata, H Li, M Minic, D Yoneya, T
Citation
H. Awata et al., On the quantization of Nambu brackets, J HIGH EN P, 2001(2), 2001, pp. NIL_270-NIL_286
Citations number
30
Categorie Soggetti
Physics
Journal title
JOURNAL OF HIGH ENERGY PHYSICS
ISSN journal
10298479 → ACNP
Volume
2001
Issue
2
Year of publication
2001
Pages
NIL_270 - NIL_286
Database
ISI
SICI code
1029-8479(200102)2001:2<NIL_270:OTQONB>2.0.ZU;2-F
Abstract
We present several non-trivial examples of the three-dimensional quantum Na mbu bracket which involve square matrices or three-index objects. Our examp les 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 m echanics. We also discuss possible applications of our results in M-theory.