The Jacobi identity for Dirac-like brackets

Details The Jacobi identity for Dirac-like brackets The Jacobi identity for Dirac-like brackets

2001-07-24

arxiv.org/abs/hep-th/0107210v2

Int.J.Mod.Phys. A17 (2002) 395-404

Physics

High Energy Physics

High Energy Physics - Theory

14 pages, Latex. Final version to be published in Int. J. Mod. Phys. A

Scientific paper

10.1142/S0217751X0200602X

For redundant second-class constraints the Dirac brackets cannot be defined and new brackets must be introduced. We prove here that the Jacobi identity for the new brackets must hold on the surface of the second-class constraints. In order to illustrate our proof we work out explicitly the cases of a fractional spin particle in 2+1 dimensions and the original Brink-Schwarz massless superparticle in D=10 dimensions in a Lorentz covariant constraints separation.

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