Hanisch, Florian and Ludewig, Matthias (2022) The fermionic integral on loop space and the Pfaffian line bundle. JOURNAL OF MATHEMATICAL PHYSICS, 63 (12): 123502. ISSN 0022-2488, 1089-7658
Full text not available from this repository. (Request a copy)Abstract
As the loop space of a Riemannian manifold is infinite-dimensional, it is a non-trivial problem to make sense of the "top degree component " of a differential form on it. In this paper, we show that a formula from finite dimensions generalizes to assign a sensible "top degree component " to certain composite forms, obtained by wedging with the exponential (in the exterior algebra) of the canonical presymplectic 2-form on the loop space. This construction is a crucial ingredient for the definition of the supersymmetric path integral on the loop space. Published under an exclusive license by AIP Publishing.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | FORMULAS; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Bernd Ammann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 17 Oct 2023 10:04 |
| Last Modified: | 17 Oct 2023 10:04 |
| URI: | https://pred.uni-regensburg.de/id/eprint/56492 |
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