Anticommuting variables, fermionic path integrals and supersymmetry

DOI10.1016/0393-0440(93)90073-NzbMath0780.60081arXivhep-th/9210135OpenAlexW3106447478MaRDI QIDQ687765

Alice Rogers

Publication date: 30 January 1994

Published in: Journal of Geometry and Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/9210135

zbMATH Keywords

stochastic calculusLaplace-Beltrami operatorsupersymmetryFeynman-Kac formulaAtiyah-Singer index theoremfermionic Brownian paths

Mathematics Subject Classification ID

Related Items (2)

Infinite-dimensional superanalogs of the Mehler formula ⋮ Super Brownian motion on a loop group.

Cites Work

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• The Atiyah-Singer theorems: A probabilistic approach. I: The index theorem
• A short proof of the local Atiyah-Singer index theorem
• Fermionic path integration and Grassmann Brownian motion
• Supersymmetric path integrals
• Curvature and the eigenvalues of the Laplacian
• On the heat equation and the index theorem
• The Feynman principle for a Fermi system
• Stochastic calculus in superspace. I. Supersymmetric Hamiltonians
• Stochastic calculus in superspace. II. Differential forms, supermanifolds and the Atiyah-Singer index theorem
• Supersymmetry and the Atiyah-Singer index theorem

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