Dappiaggi, Claudio and Gimperlein, Heiko and Murro, Simone and Schenkel, Alexander (2017) Wavefront sets and polarizations on supermanifolds. JOURNAL OF MATHEMATICAL PHYSICS, 58 (2): 023504. ISSN 0022-2488, 1089-7658
Full text not available from this repository. (Request a copy)Abstract
In this paper, we develop the foundation for microlocal analysis on supermanifolds. Making use of pseudodifferential operators on supermanifolds as introduced by Rempel and Schmitt, we define a suitable notion of super-wavefront set for superdistributions which generalizes Dencker's polarization sets for vector-valued distributions to supergeometry. In particular, our super-wavefront sets detect polarization information of the singularities of superdistributions. We prove a refined pullback theorem for superdistributions along supermanifold morphisms, which as a special case establishes criteria when two superdistributions may be multiplied. As an application of our framework, we study the singularities of distributional solutions of a supersymmetric field theory. Published by AIP Publishing.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | QUANTUM-FIELD THEORY; OPERATORS; SYSTEMS; MODELS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Dec 2018 13:01 |
| Last Modified: | 26 Feb 2019 13:46 |
| URI: | https://pred.uni-regensburg.de/id/eprint/447 |
Actions (login required)
 |
View Item |
