A Note on Superdistributions and Wavefront Set

Abstract

We present a simple and new method of constructing superdistributions on superspace over a Grassmann-Banach algebra, which close to the de Rham's ``currents'' defined as dual objects to differential forms. The paper also contains the extension of the Hörmander's description of the singularity structure (wavefront set) of a distribution to include the supersymmetric case.

Version to appear in International Journal of Theoretical Physics

References in corpus (3)

• The microlocal spectrum condition and Wick polynomials of free fields on curved spacetimes
• Super Hilbert Spaces
• Supersymmetric Field-Theoretic Models on a Supermanifold