Quantum version of the \(N=8\) superconformal algebra

DOI10.1016/0550-3213(95)00433-SzbMath0925.17035arXivhep-th/9505143OpenAlexW3103259605MaRDI QIDQ1899044

J. A. H. Samtleben

Publication date: 3 October 1995

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

Full work available at URL: https://arxiv.org/abs/hep-th/9505143

zbMATH Keywords

operator product expansionnilpotent operatorFock space representationalgebra realizationssoft affine subalgebra

Mathematics Subject Classification ID

Supersymmetric field theories in quantum mechanics (81T60) 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)

Related Items

Real forms of nonlinear superconformal and quasi-superconformal algebras and their unified realization, Seven-sphere and the exceptional \(N=7\) and \(N=8\) superconformal algebras

Cites Work

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• BRST cohomology of the super-Virasoro algebras
• Extensions of the Virasoro algebra constructed from Kac-Moody algebras using higher order Casimir invariants
• \(S^ 7\) and \({\widehat {S^ 7}}\)
• The central extension of Kac-Moody-Malcev algebras
• Loop algebras and superalgebras based on S 7
• Nonassociative superconformal algebras