A Rigorous Construction of the Supersymmetric Path Integral Associated to a Compact Spin Manifold

URN to cite this document:: urn:nbn:de:bvb:355-epub-518006
DOI to cite this document:: 10.5283/epub.51800

Hanisch, Florian ; Ludewig, Matthias

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Date of publication of this fulltext: 23 Feb 2022 10:28

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Abstract

We give a rigorous construction of the path integral in N=1/2 supersymmetry as an integral map for differential forms on the loop space of a compact spin manifold. It is defined on the space of differential forms which can be represented by extended iterated integrals in the sense of Chen and Getzler–Jones–Petrack. Via the iterated integral map, we compare our path integral to the non-commutative ...