Nonassociative superconformal algebras

DOI10.1063/1.529151zbMath0756.17012OpenAlexW2054911264MaRDI QIDQ3987356

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Publication date: 28 June 1992

Published in: Journal of Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.529151

zbMATH Keywords

Cayley numberssuperalgebracovariant derivation of spinorsGreen-Schwarz super-stringnonassociative superconformal Lie algebras

Mathematics Subject Classification ID

Applications of Lie (super)algebras to physics, etc. (17B81) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) Applications of global analysis to the sciences (58Z05) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Related Items

\(S^ 7\) and \({\widehat {S^ 7}}\), Quantum version of the \(N=8\) superconformal algebra, The graded algebra and the derivative \(\overline {\mathcal L}\) of spinor fields related to the twistor equation, A CHERN–SIMONS E₈ GAUGE THEORY OF GRAVITY IN D = 15, GRAND UNIFICATION AND GENERALIZED GRAVITY IN CLIFFORD SPACES

Cites Work

• Superconformal current algebras and their unitary representations
• Superconformal algebras with N=5, 6, 7, 8. I
• Superconformal algebras and Clifford algebras
• INFINITE DIMENSIONAL EXTENDED SUPERCONFORMAL LIE ALGEBRAS
• Loop algebras and superalgebras based on S 7
• Explicit construction of the exceptional superalgebras F(4) and G(3)
• Supersymmetries and their representations