On unitary representations of the exceptional non-linear \(N=7\) and \(N=8\) superconformal algebras in terms of free fields

DOI10.1016/0920-5632(96)00330-1zbMath0957.81661OpenAlexW2086195678MaRDI QIDQ5927113

Sergei V. Ketov

Publication date: 8 March 2001

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

Full work available at URL: https://doi.org/10.1016/0920-5632(96)00330-1

Mathematics Subject Classification ID

Virasoro and related algebras (17B68) Two-dimensional field theories, conformal field theories, etc. in quantum mechanics (81T40) Supersymmetric field theories in quantum mechanics (81T60) Infinite-dimensional groups and algebras motivated by physics, including Virasoro, Kac-Moody, (W)-algebras and other current algebras and their representations (81R10) String and superstring theories; other extended objects (e.g., branes) in quantum field theory (81T30)

Cites Work

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• Self-dual Yang--Mills fields in \(d=7, 8\), octonions and Ward equations
• Loop algebras and superalgebras based on S 7
• Quark structure and octonions
• Octonionic superstring solitons
• Results of the classification of superconformal algebras in two dimensions

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