Dualities between Poisson brackets and antibrackets

Details Dualities between Poisson brackets and antibrackets Dualities between Poisson brackets and antibrackets

1998-09-30

arxiv.org/abs/hep-th/9809210v2

Int.J.Mod.Phys. A14 (1999) 5049-5074

Physics

High Energy Physics

High Energy Physics - Theory

24 pages,Latexfile,corrected (2.7-8) and removed text between (2.9) and (2.10)

Scientific paper

10.1142/S0217751X99002384

Recently it has been shown that antibrackets may be expressed in terms of Poisson brackets and vice versa for commuting functions in the original bracket. Here we also introduce generalized brackets involving higher antibrackets or higher Poisson brackets where the latter are of a new type. We give generating functions for these brackets for functions in arbitrary involutions in the original bracket. We also give master equations for generalized Maurer-Cartan equations. The presentation is completely symmetric with respect to Poisson brackets and antibrackets.

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