A Chern-Simons transgression formula for supersymmetric path integrals on spin manifolds

DOI10.1016/j.geomphys.2023.105041arXiv2111.12162OpenAlexW4388561814MaRDI QIDQ6141364

Sebastian Boldt, Sergio Luigi Cacciatori, Batu Güneysu

Publication date: 4 January 2024

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

Full work available at URL: https://arxiv.org/abs/2111.12162

zbMATH Keywords

spin manifoldcurrentsloop spacessupersymmetric path integralDuistermaat-Heckman localizationtransgression formula

Mathematics Subject Classification ID

Differential geometry (53-XX)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Transgression to loop spaces and its inverse. II: Gerbes and fusion bundles with connection.
• Index theorem and equivariant cohomology on the loop space
• Kato's inequality and the spectral distribution of Laplacians on compact Riemannian manifolds
• Spineurs, opérateurs de Dirac et variations de métriques. (Spinors, Dirac operators and variations of the metrics)
• The Chern character of \(\vartheta \)-summable Fredholm modules over dg algebras and localization on loop space
• Odd characteristic classes in entire cyclic homology and equivariant loop space homology
• A rigorous construction of the supersymmetric path integral associated to a compact spin manifold
• The Calderón-Zygmund inequality and Sobolev spaces on noncompact Riemannian manifolds
• R-torsion and the Laplacian on Riemannian manifolds
• Supersymmetry and the Atiyah-Singer index theorem
• Feynman-Kac formula for perturbations of order \(\leq 1\), and noncommutative geometry