A geometric construction of the exceptional Lie algebras \(F_4\) and \(E_8\)

DOI10.1007/s00220-008-0581-7zbMath1157.17003arXiv0706.2829OpenAlexW3102098938MaRDI QIDQ958160

José M. Figueroa-O'Farrill

Publication date: 2 December 2008

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

Full work available at URL: https://arxiv.org/abs/0706.2829

zbMATH Keywords

supergravityexceptional algebraKilling superalgebra

Mathematics Subject Classification ID

Supergravity (83E50) Supersymmetric field theories in quantum mechanics (81T60) Exceptional (super)algebras (17B25) Finite-dimensional groups and algebras motivated by physics and their representations (81R05) Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25)

Related Items

Submaximal conformal symmetry superalgebras for Lorentzian manifolds of low dimension, Killing superalgebras for Lorentzian four-manifolds, Killing superalgebras for Lorentzian six-manifolds, \(\mathrm{Spin}(9)\) geometry of the octonionic Hopf fibration, Invariant four-forms and symmetric pairs, Superization of homogeneous spin manifolds and geometry of homogeneous supermanifolds, $E_8$, the most exceptional group, Octonions, triality, the exceptional Lie algebra F4 and polar actions on the Cayley hyperbolic plane

Uses Software

• LiE

Cites Work

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• Dérivées de Lie des spineurs. (Lie derivatives of spinors)
• The Killing superalgebra of 10-dimensional supergravity backgrounds
• Supersymmetry and homogeneity of M-theory backgrounds
• On the supersymmetries of anti-de Sitter vacua