Path integrals, supersymmetric quantum mechanics, and the Atiyah-Singer index theorem for twisted Dirac

DOI10.1063/1.4973368zbMath1361.81055arXiv1605.06982OpenAlexW3103538725MaRDI QIDQ2963280

Stephen F. Sawin, Dana Stanley Fine

Publication date: 13 February 2017

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

Full work available at URL: https://arxiv.org/abs/1605.06982

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Feynman integrals and graphs; applications of algebraic topology and algebraic geometry (81Q30) Spinor and twistor methods applied to problems in quantum theory (81R25) Supersymmetry and quantum mechanics (81Q60) Index theory (19K56) Heat kernel (35K08) Quantum mechanics on special spaces: manifolds, fractals, graphs, lattices (81Q35)

Related Items (4)

A rigorous construction of the supersymmetric path integral associated to a compact spin manifold ⋮ Strong short-time asymptotics and convolution approximation of the heat kernel ⋮ Time-slicing approximation of Feynman path integrals on compact manifolds ⋮ The Chern character of \(\vartheta \)-summable Fredholm modules over dg algebras and localization on loop space

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