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.
- Publication:
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International Journal of Theoretical Physics
- Pub Date:
- February 2007
- DOI:
- 10.1007/s10773-006-9229-6
- arXiv:
- arXiv:hep-th/0101107
- Bibcode:
- 2007IJTP...46..207F
- Keywords:
-
- Superdistributions;
- Microlocal Analysis;
- High Energy Physics - Theory
- E-Print:
- Version to appear in International Journal of Theoretical Physics