The fermionic integral on loop space and the Pfaffian line bundle

DOI10.1063/5.0060355OpenAlexW3136123878MaRDI QIDQ5883022

Matthias Ludewig, Florian Hanisch

Publication date: 29 March 2023

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

Full work available at URL: https://arxiv.org/abs/1709.10028

Mathematics Subject Classification ID

Partial differential equations (35-XX) Quantum theory (81-XX)

Related Items (1)

The Chern character of \(\vartheta \)-summable Fredholm modules over dg algebras and localization on loop space

Cites Work

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• Spin structures on loop spaces that characterize string manifolds
• Local and analytic cyclic homology
• Index theorem and equivariant cohomology on the loop space
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• Perturbation theory for linear operators.
• Supersymmetric path integrals
• The Chern character of \(\vartheta \)-summable Fredholm modules over dg algebras and localization on loop space
• A rigorous construction of the supersymmetric path integral associated to a compact spin manifold
• Path integrals on manifolds with boundary
• Duistermaat–Heckman formulas and index theory
• Fermionic Functional Integrals and the Renormalization Group
• Bundle Gerbes
• Construction of the Supersymmetric Path Integral: A Survey
• Supersymmetry and the Atiyah-Singer index theorem
• A short proof of the localization formula for the loop space Chern character of spin manifolds

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