Odd Invariant Semidensity and Divergence-like Operators on an Odd Symplectic Superspace

Abstract

The divergence-like operator on an odd symplectic superspace which acts invariantly on a specially chosen odd vector field is considered. This operator is used to construct an odd invariant semidensity in a geometrically clear way. The formula for this semidensity is similar to the formula of the mean curvature of hypersurfaces in Euclidean space.

18 pages, TeX file

Cited by in corpus (5)

• On the Geometry of Forms on Supermanifolds
• Poisson structures in BRST-antiBRST invariant Lagrangian formalism
• Geometry of differential operators of second order, the algebra of densities, and groupoids
• On Forms, Cohomology, and BV Laplacians in Odd Symplectic Geometry
• Modular class of even symplectic manifolds