Batalin-Vilkovisky Formalism and Integration Theory on Manifolds

TL;DR

This paper establishes a connection between the Batalin-Vilkovisky formalism and integration theory on supermanifolds, providing explicit formulas for densities on Lagrangian surfaces with odd symplectic structures.

Contribution

It introduces an explicit formula for densities on Lagrangian surfaces in superspaces with odd symplectic structures, linking BV-formalism to integration theory.

Findings

Established correspondence between BV-formalism and supermanifold integration

Derived explicit density formula on Lagrangian surfaces

Connected odd symplectic structures with volume forms

Abstract

The correspondence between the BV-formalism and integration theory on supermanifolds is established. An explicit formula for the density on a Lagrangian surface in a superspace provided with an odd symplectic structure and a volume form is proposed.