A Clifford algebra realization of supersymmetry and its polyvector extension in Clifford spaces

DOI10.1007/S00006-011-0279-3zbMath1238.15011OpenAlexW1999350276MaRDI QIDQ411147

Carlos Castro

Publication date: 4 April 2012

Published in: Advances in Applied Clifford Algebras (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00006-011-0279-3

zbMATH Keywords

calculusClifford algebrassupersymmetrytensor productcommutators\(M, F\) theory superalgebrasde Sitter superalgebrasGrassmannian anticommutatorsPoincaré superalgebrapolyvector-supersymmetry

Mathematics Subject Classification ID

Clifford algebras, spinors (15A66) Multilinear algebra, tensor calculus (15A69) Alternative quantum mechanics (including hidden variables, etc.) (81Q65)

Related Items (1)

Super-Clifford gravity, higher spins, generalized supergeometry and much more

Cites Work

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• Polyvector super-Poincaré algebras
• A Clifford analysis approach to superspace
• Hypersymmetry: A ℤ3-graded generalization of supersymmetry
• ₂-gradings of Clifford algebras and multivector structures

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