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arXiv · hep-th/9310013

Equivariant Localization: BV-geometry and Supersymmetric Dynamics

A. Nersessian
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Abstract

It is shown, that the geometrical objects of Batalin-Vilkovisky formalism-- odd symplectic structure and nilpotent operator $Δ$ 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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A. Nersessian. 1993-10-04. Equivariant Localization: BV-geometry and Supersymmetric Dynamics. https://arxiv.org/abs/hep-th/9310013

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