ON THE "UNIVERSAL" N=2 SUPERSYMMETRY OF CLASSICAL MECHANICS

DOI10.1142/S0217751X01004190zbMath0984.81070arXivhep-th/0012177WikidataQ128524083 ScholiaQ128524083MaRDI QIDQ2730945

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Publication date: 12 May 2002

Published in: International Journal of Modern Physics A (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0012177

zbMATH Keywords

ergodicityconstant energy surfacesfunctional approach to classical mechanicslocal Grassmannian invariances

Mathematics Subject Classification ID

Path integrals in quantum mechanics (81S40) Supersymmetry and quantum mechanics (81Q60)

Related Items (8)

Hamiltonian superfield formalism with \(N\) supercharges ⋮ Geometric algebra and star products on the phase space ⋮ Field redefinition invariant Lagrange multiplier formalism ⋮ Hamiltonian \(N=2\) superfield quantization ⋮ An embedding of the BV quantization into an \(N=1\) local superfield formalism ⋮ Geometric dequantization ⋮ CARTAN CALCULUS VIA PAULI MATRICES ⋮ Local superfield Lagrangian BRST quantization

Cites Work

• Algebraic characterization of ergodicity
• Dynamical breaking of supersymmetry
• Topological quantum field theory
• On the variation in the cohomology of the symplectic form of the reduced phase space
• The Feynman integral for singular Lagrangians
• New formulation of the classical path integral with reparametrization invariance
• Hamiltonian Systems and Transformation in Hilbert Space
• Local supersymmetry in nonrelativistic systems
• Equivariance, BRST symmetry, and superspace
• Generalized Hamiltonian Dynamics
• A new supersymmetric extension of conformal mechanics

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