Linear Odd Poisson Bracket on Grassmann Variables

Details Linear Odd Poisson Bracket on Grassmann Variables Linear Odd Poisson Bracket on Grassmann Variables

1998-11-30

arxiv.org/abs/hep-th/9811252v3

Phys.Lett. B451 (1999) 349-353

Physics

High Energy Physics

High Energy Physics - Theory

7 pages, LATEX. Relation (34) is added and the rearrangement necessary for publication in Physics Letters B is made

Scientific paper

10.1016/S0370-2693(99)00228-2

A linear odd Poisson bracket (antibracket) realized solely in terms of Grassmann variables is suggested. It is revealed that the bracket, which corresponds to a semi-simple Lie group, has at once three Grassmann-odd nilpotent $\Delta$-like differential operators of the first, the second and the third orders with respect to Grassmann derivatives, in contrast with the canonical odd Poisson bracket having the only Grassmann-odd nilpotent differential $\Delta$-operator of the second order. It is shown that these $\Delta$-like operators together with a Grassmann-odd nilpotent Casimir function of this bracket form a finite-dimensional Lie superalgebra.

Affiliated with

Also associated with

No associations

Rating

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

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-71923