OCTONIONIC REALIZATIONS OF ONE-DIMENSIONAL EXTENDED SUPERSYMMETRIES: A CLASSIFICATION

DOI10.1142/S0217732303009885zbMath1076.81522arXivhep-th/0212030OpenAlexW3123334385MaRDI QIDQ5710937

Francesco Toppan, Hector L. Carrión, Moises Rojas

Publication date: 9 December 2005

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

Full work available at URL: https://arxiv.org/abs/hep-th/0212030

zbMATH Keywords

supersymmetrydivision algebrasoctonions

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Spinor and twistor methods applied to problems in quantum theory (81R25)

Related Items (9)

Clifford algebra-parametrized octonions and generalizations ⋮ Rotations in the space of Split octonions ⋮ One-dimensional structures behind twisted and untwisted superYang-Mills theory ⋮ THE REAL ANATOMY OF COMPLEX LINEAR SUPERFIELDS ⋮ ON THE CONSTRUCTION AND THE STRUCTURE OF OFF-SHELL SUPERMULTIPLET QUOTIENTS ⋮ Spinor fields classification in arbitrary dimensions and new classes of spinor fields on 7-manifolds ⋮ New spinor classes on the Graf-Clifford algebra ⋮ On Clifford-algebraic dimensional extension and SUSY holography ⋮ ON GRAPH-THEORETIC IDENTIFICATIONS OF ADINKRAS, SUPERSYMMETRY REPRESENTATIONS AND SUPERFIELDS

Cites Work

• \(S^ 7\) and \({\widehat {S^ 7}}\)
• Generalized space-time supersymmetries, division algebras and octonionic M-theory
• Seven-sphere and the exceptional \(N=7\) and \(N=8\) superconformal algebras
• On the classification of N-extended supersymmetric quantum mechanical systems
• Loop algebras and superalgebras based on S 7
• Real representations of finite Clifford algebras. I. Classification
• An \(N=8\) superaffine Malcev algebra and its \(N=8\) Sugawara

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