Supersymmetric path integrals

DOI10.1007/BF01214420zbMath0615.58005MaRDI QIDQ1820478

John Lott

Publication date: 1987

Published in: Communications in Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

index theorysupersymmetric extension of the Wiener integralsupersymmetric path integral

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Path integrals in quantum mechanics (81S40) Index theory and related fixed-point theorems on manifolds (58J20) Applications of manifolds of mappings to the sciences (58D30)

Related Items

The fermionic integral on loop space and the Pfaffian line bundle, A rigorous construction of the supersymmetric path integral associated to a compact spin manifold, The degree of the Nicolai map in supersymmetric quantum mechanics, Super Brownian motion on a loop group., A superspace path integral proof of the Gauss-Bonnet-Chern theorem, The Polyakov path integral over bordered surfaces. III: The BRST extended closed string off-shell amplitudes, Anticommuting variables, fermionic path integrals and supersymmetry, Torsion constraints in supergeometry, The Chern character of \(\vartheta \)-summable Fredholm modules over dg algebras and localization on loop space, Path integral representation of the index of Kähler-Dirac operators on an infinite dimensional manifold, Smooth coalgebras, The Chern-Gauss-Bonnet theorem via supersymmetric Euclidean field theories, Witten complex and supersymmetric quantum mechanics on SO(3)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• The Atiyah-Singer theorems: A probabilistic approach. I: The index theorem
• A short proof of the local Atiyah-Singer index theorem
• Supersymmetry and Morse theory
• INTRODUCTION TO THE THEORY OF SUPERMANIFOLDS
• Supersymmetry and the Atiyah-Singer index theorem