Seven sphere and the exceptional nonlinear superconformal algebras

DOI10.1016/s0920-5632(97)00311-3zbMath0925.81044arXivhep-th/9703021OpenAlexW3105890468MaRDI QIDQ6205116

Murat Gunaydin

Publication date: 10 June 1997

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

Full work available at URL: https://arxiv.org/abs/hep-th/9703021

zbMATH Keywords

coset spacesalgebra realizationsexceptional nonlinear superconformal algebras

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) 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 differential geometry to the sciences (53C80)

Cites Work

• Infinite dimensional Lie algebras. An introduction
• Seven-sphere and the exceptional \(N=7\) and \(N=8\) superconformal algebras
• On an exceptional nonassociative superspace
• Classification of all simple graded Lie algebras whose Lie algebra is reductive. I
• Quark structure and octonions
• Results of the classification of superconformal algebras in two dimensions

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