On the Geometry of the Batalin-Vilkovisky Formalism

Details On the Geometry of the Batalin-Vilkovisky Formalism On the Geometry of the Batalin-Vilkovisky Formalism

1993-03-24

arxiv.org/abs/hep-th/9303136v1

Mod.Phys.Lett. A8 (1993) 2377-2386

Physics

High Energy Physics

High Energy Physics - Theory

11 pages , UGVA---DPT 1993/03--807

Scientific paper

An invariant definition of the operator $\Delta $ of the Batalin-Vilkovisky formalism is proposed. It is defined as the divergence of a Hamiltonian vector field with an odd Poisson bracket (antibracket). Its main properties, which follow from this definition, as well as an example of realization on K\"ahlerian supermanifolds, are considered. The geometrical meaning of the Batalin-Vilkovisky formalism is discussed.

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