Matrix 3-Lie superalgebras and BRST supersymmetry

DOI10.1142/S0219887817501602zbMath1392.17004arXiv1707.01270MaRDI QIDQ4599423

Viktor Abramov

Publication date: 2 January 2018

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

Full work available at URL: https://arxiv.org/abs/1707.01270

zbMATH Keywords

Clifford algebraPauli matricesDirac matrices3-Lie algebra3-Lie superalgebraBRST-supersymmetry

Mathematics Subject Classification ID

Lie algebras of vector fields and related (super) algebras (17B66) Supersymmetric field theories in quantum mechanics (81T60) Applications of Lie (super)algebras to physics, etc. (17B81) Superalgebras (17A70) Clifford algebras, spinors (15A66) Lie (super)algebras associated with other structures (associative, Jordan, etc.) (17B60)

Related Items (11)

3-Hom-Lie algebras based on \(\sigma\)-derivation and involution ⋮ Induced 3-Hom-Lie superalgebras ⋮ Simply complete Hom-Lie superalgebras and decomposition of complete Hom-Lie superalgebras ⋮ (2 + 1)-Dimensional generalized third-order Heisenberg supermagnet model ⋮ Nambu–Poisson bracket on superspace ⋮ On the cohomology and extensions of \(n\)-ary multiplicative Hom-Nambu-Lie superalgebras ⋮ Unnamed Item ⋮ Quadratic and symplectic structures on 3-(Hom)–ρ-Lie algebras ⋮ 3-Lie superalgebras induced by Lie superalgebras ⋮ Induced 3-Lie algebras, superalgebras and induced representations ⋮ 3-BiHom-Lie superalgebras induced by BiHom-Lie superalgebras

Cites Work

• Representations and cohomology of \(n\)-ary multiplicative Hom-Nambu-Lie algebras
• Superconnections, Thom classes, and equivariant differential forms
• \(n\)-Lie algebras
• On foundation of the generalized Nambu mechanics
• M-brane models from non-abelian gerbes
• Nonabelian (2,0) tensor multiplets and 3-algebras
• Super 3-Lie algebras induced by super Lie algebras
• Deformation quantization and Nambu mechanics
• Classification of Low Dimensional 3-Lie Superalgebras
• Generalized Hamiltonian Dynamics
• Structure and Cohomology of 3-Lie Algebras Induced by Lie Algebras

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