Generalized space-time supersymmetries, division algebras and octonionic M-theory

DOI10.1016/S0370-2693(02)02073-7zbMath0996.17002arXivhep-th/0203149OpenAlexW3101249622WikidataQ62579706 ScholiaQ62579706MaRDI QIDQ1605004

Jerzy Lukierski, Francesco Toppan

Publication date: 10 July 2002

Published in: Physics Letters. B (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/hep-th/0203149

zbMATH Keywords

bosonic generatorsconformal superalgebrasPoincare superalgebras

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Superalgebras (17A70) Nonassociative division algebras (17A35)

Related Items (16)

Geometrical applications of split octonions ⋮ Clifford algebra-parametrized octonions and generalizations ⋮ Rotations in the space of Split octonions ⋮ Dual number coefficient octonion algebra, field equations and conservation laws ⋮ Non-associativity in the Clifford bundle on the parallelizable torsion 7-sphere ⋮ Octonionic M-theory and \(D=11\) generalized conformal and superconformal algebras ⋮ Generalized split-octonion electrodynamics ⋮ Quaternion generalization of super-Poincaré group ⋮ Octonion massive electrodynamics ⋮ Clifford algebras, algebraic spinors, quantum information and applications ⋮ OCTONIONIC REALIZATIONS OF ONE-DIMENSIONAL EXTENDED SUPERSYMMETRIES: A CLASSIFICATION ⋮ Generalized octonion electrodynamics ⋮ On the Octonionic Superconformal M-Algebra ⋮ Unified split octonion formulation of dyons ⋮ On the Structure of Green’s Ansatz ⋮ OCTONION AND CONSERVATION LAWS FOR DYONS

Cites Work

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• Essays on supersymmetry. With contributions by M. Flato, C. Fronsdal, T. Hirai
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• Division algebras, extended supersymmetries and applications
• On the classification of N-extended supersymmetric quantum mechanical systems
• EXTENDED POINCARÉ SUPERSYMMETRY
• Real representations of finite Clifford algebras. II. Explicit construction and pseudo-octonion
• Lie superalgebras
• \(\text{OSp}(1|8)\)-gravity
• 2T physics formulation of superconformal dynamics relating to twistors and supertwistors
• BPS states of \(D=4\) \(N=1\) supersymmetry
• An \(N=8\) superaffine Malcev algebra and its \(N=8\) Sugawara
• On the embedding of spacetime symmetries into simple superalgebras
• Spinor algebras

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