Degenerate Odd Poisson Bracket on Grassmann Variables

Details Degenerate Odd Poisson Bracket on Grassmann Variables Degenerate Odd Poisson Bracket on Grassmann Variables

1998-11-25

arxiv.org/abs/hep-th/9811223v3

Phys.Atom.Nucl. 63 (2000) 915-917; Yad.Fiz. 63N5 (2000) 988-990

Physics

High Energy Physics

High Energy Physics - Theory

5 pages, LATEX. Corrections of misprints. The relation (23) is added

Scientific paper

10.1134/1.855725

A linear degenerate odd Poisson bracket (antibracket) realized solely on Grassmann variables is presented. It is revealed that this bracket has at once three nilpotent $\Delta$-like differential operators of the first, the second and the third orders with respect to the Grassmann derivatives. It is shown that these $\Delta$-like operators together with the Grassmann-odd nilpotent Casimir function of this bracket form a finite-dimensional Lie superalgebra.

Affiliated with

Also associated with

No associations

Rating

Degenerate Odd Poisson Bracket on Grassmann Variables does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Degenerate Odd Poisson Bracket on Grassmann Variables, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Degenerate Odd Poisson Bracket on Grassmann Variables will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-459096