An exceptional \(N=8\) superconformal algebra in two dimensions associated with \(F(4)\)

DOI10.1016/0370-2693(92)91600-EzbMath0968.81520MaRDI QIDQ5938816

V. Ya. Linetskij, Efim S. Fradkin

Publication date: 5 August 2001

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

Mathematics Subject Classification ID

Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) 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)

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Cites Work

• A sketch of Lie superalgebra theory
• Octonionic description of exceptional Lie superalgebras
• Loop algebras and superalgebras based on S 7
• Classification of all simple graded Lie algebras whose Lie algebra is reductive. II. Construction of the exceptional algebras
• Simple supersymmetries
• Results of the classification of superconformal algebras in two dimensions