A Note on Superdistributions and Wavefront Set
Daniel H.T. Franco
TL;DR
This paper introduces a new method for constructing superdistributions on superspace and extends the wavefront set concept to supersymmetric distributions, bridging differential geometry and supersymmetry.
Contribution
It presents a novel construction of superdistributions on superspace and generalizes H"ormander's wavefront set to include supersymmetric cases.
Findings
New method for superdistribution construction
Extension of wavefront set to supersymmetric distributions
Bridging differential geometry with supersymmetry
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 H\"ormander's description of the singularity structure (wavefront set) of a distribution to include the supersymmetric case.
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