Supersymmetric path integrals
type: Item
instance of: scholarly article
title: Supersymmetric path integrals
zbMATH Open document ID: 0615.58005
DOI: 10.1007/BF01214420
author: John Lott
published in: Communications in Mathematical Physics
publication date: 1987-01-01T00:00:00Z
review text: The supersymmetric path integral is constructed for quantum mechanical models on flat space as a supersymmetric extension of the Wiener integral. It is pushed forward to a compact Riemannian manifold by means of a Malliavin-type construction. The relation to index theory is discussed.
Mathematics Subject Classification ID: 58D30
Mathematics Subject Classification ID: 81S40
Mathematics Subject Classification ID: 81T60
Mathematics Subject Classification ID: 58J20
zbMATH DE Number: 3996683
zbMATH Keywords: supersymmetric path integral
zbMATH Keywords: supersymmetric extension of the Wiener integral
zbMATH Keywords: index theory
MaRDI profile type: Publication
cites work: Supersymmetry and Morse theory
cites work: Supersymmetry and the Atiyah-Singer index theorem
cites work: A short proof of the local Atiyah-Singer index theorem
cites work: The Atiyah-Singer theorems: A probabilistic approach. I: The index theorem
cites work: Q5530857
cites work: Q3959169
cites work: Q3872705
cites work: INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS
cites work: Q5548503
cites work: Q5585820
description: scientific article; zbMATH DE number 3996683