LIE 3-ALGEBRA AND SUPER-AFFINIZATION OF SPLIT-OCTONIONS

DOI10.1142/S0217732311037005zbMath1274.81211arXiv1004.4228WikidataQ115246437 ScholiaQ115246437MaRDI QIDQ2861630

Sergio Giardino, Hector L. Carrión

Publication date: 11 November 2013

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

Full work available at URL: https://arxiv.org/abs/1004.4228

zbMATH Keywords

Lie algebragauge field theoryoctonion

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) Yang-Mills and other gauge theories in quantum field theory (81T13) Superalgebras (17A70) Operator algebra methods applied to problems in quantum theory (81R15) Quaternion and other division algebras: arithmetic, zeta functions (11R52) Nonassociative division algebras (17A35)

Related Items (1)

A NONASSOCIATIVE QUATERNION SCALAR FIELD THEORY

Cites Work

• Nonstandard signature of spacetime, superstrings and the split composition algebras
• Algebraic structures on parallel M2 branes
• The large \(N\) limit of superconformal field theories and supergravity
• Anti de Sitter space and holography
• Seven-sphere and the exceptional \(N=7\) and \(N=8\) superconformal algebras
• Three-algebras and<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi mathvariant="script">N</mml:mi><mml:mo>=</mml:mo><mml:mn>6</mml:mn></mml:math>Chern-Simons gauge theories
• Matrix representation of octonions and generalizations
• Division algebras and extendedN  2, 4, 8 superKdVs
• The octonions
• Generalized Hamiltonian Dynamics
• Three-algebras, triple systems and 3-graded Lie superalgebras
• An \(N=8\) superaffine Malcev algebra and its \(N=8\) Sugawara

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