Equivariant Localization: BV-geometry and Supersymmetric Dynamics

Details Equivariant Localization: BV-geometry and Supersymmetric Dynamics Equivariant Localization: BV-geometry and Supersymmetric Dynamics

1993-10-04

arxiv.org/abs/hep-th/9310013v1

Physics

High Energy Physics

High Energy Physics - Theory

13 pages , Preprint JINR E2-93-358

Scientific paper

It is shown, that the geometrical objects of Batalin-Vilkovisky formalism-- odd symplectic structure and nilpotent operator $\Delta$ can be naturally uncorporated in Duistermaat--Heckman localization procedure. The presence of the supersymmetric bi-Hamiltonian dynamics with even and odd symplectic structure in this procedure is established. These constructions can be straightly generalized for the path-integral case.

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