Supergeometry and Quantum Field Theory, or: What is a Classical Configuration?
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Publication:4379718
DOI10.1142/S0129055X97000348zbMath0897.58003arXivhep-th/9607132OpenAlexW3104994914MaRDI QIDQ4379718
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Publication date: 22 April 1998
Published in: Reviews in Mathematical Physics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/hep-th/9607132
Berezin-Kostant-Leites approachde Witt-Rogers approachfinite dimensional and infinite dimensional supermanifolds
Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Supersymmetric field theories in quantum mechanics (81T60) Quantum field theory on lattices (81T25) Supermanifolds and graded manifolds (58A50) Analysis on supermanifolds or graded manifolds (58C50)
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Cites Work
- Graded manifold theory as the geometry of supersymmetry
- D-modules on supermanifolds
- Supergeometry and Hermitian conjugation
- Symplectic reduction, BRS cohomology, and infinite-dimensional Clifford algebras
- Superspaces and supersymmetries
- Particle spin dynamics as the Grassmann variant of classical mechanics
- Le problème des modules pour les sous-espaces analytiques compacts d'un espace analytique donné
- Schwinger terms from geometric quantization of field theories
- A global theory of supermanifolds
- FUNCTIONALS OF CLASSICAL FIELDS IN QUANTUM FIELD THEORY
- Lie superalgebras
