Hypersymmetry: A ℤ3-graded generalization of supersymmetry

DOI10.1063/1.531821zbMath0872.58006arXivhep-th/9607143OpenAlexW2090224018MaRDI QIDQ4339579

Bertrand Le Roy, Viktor Abramov, Richard Kerner

Publication date: 19 October 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9607143

zbMATH Keywords

\(\mathbb{Z}_ 3\)-graded structureshypersymmetry

Mathematics Subject Classification ID

Noncommutative topology (46L85) Noncommutative differential geometry (46L87) Supersymmetry and quantum mechanics (81Q60)

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Cites Work

• Superconnections, Thom classes, and equivariant differential forms
• On foundation of the generalized Nambu mechanics
• \(\mathbb{Z}_ 3\)-graded exterior differential calculus and gauge theories of higher order
• Noncommutative differential geometry and new models of gauge theory
• Quantum Z3-graded space
• Generalized Hamiltonian Dynamics
• On special classes of n-algebras
• A Z3-graded generalization of supermatrices
• Super matrix geometry

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