Witten complex and supersymmetric quantum mechanics on SO(3)

DOI10.1063/1.530096zbMath0777.58051OpenAlexW1974388179MaRDI QIDQ3136649

Tohru Hirokane, Yukinori Yasui, Mitsuharu Miyajima

Publication date: 21 October 1993

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

Full work available at URL: https://doi.org/10.1063/1.530096

zbMATH Keywords

critical pointssupersymmetric quantum mechanicspath integrationWitten complexSO(3) model

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Applications of global analysis to the sciences (58Z05) Path integrals in quantum mechanics (81S40) Supersymmetry and quantum mechanics (81Q60)

Related Items (3)

de Rham cohomology of SO(n) and some related manifolds by supersymmetric quantum mechanics ⋮ Unstable geodesics and topological field theory ⋮ de Rham cohomology of SO(n) by supersymmetric quantum mechanics

Cites Work

• Topological quantum field theory
• A superspace path integral proof of the Gauss-Bonnet-Chern theorem
• Supersymmetric path integrals
• Integration in Functional Spaces and its Applications in Quantum Physics
• Puits multiples en mecanique semi-classique iv etude du complexe de witten
• Supersymmetry and the Atiyah-Singer index theorem

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