Division algebras, extended supersymmetries and applications

DOI10.1016/S0920-5632(01)01566-3zbMath1006.81029arXivhep-th/0109073MaRDI QIDQ1602384

Francesco Toppan

Publication date: 19 June 2002

Published in: Nuclear Physics. B. Proceedings Supplements (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0109073

zbMATH Keywords

quantum mechanicsclassical dynamical systemssuperaffine algebra

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Supersymmetry and quantum mechanics (81Q60)

Related Items (4)

Octonionic M-theory and \(D=11\) generalized conformal and superconformal algebras ⋮ The symmetry algebras of Euclidean M-theory ⋮ The N = 2 Heavenly Equation ⋮ Generalized space-time supersymmetries, division algebras and octonionic M-theory

Cites Work

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• \(S^ 7\) and \({\widehat {S^ 7}}\)
• New supersymmetric generalization of the Liouville equation.
• The central extension of Kac-Moody-Malcev 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. II. Explicit construction and pseudo-octonion
• The geometry of the one-dimensional supersymmetric non-linear sigma models
• Division algebras and extendedN  2, 4, 8 superKdVs
• An \(N=8\) superaffine Malcev algebra and its \(N=8\) Sugawara

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