Lorentzian Lie n-algebras

Abstract

We classify Lie n-algebras possessing an invariant lorentzian inner product.

10 pages (V2: more details on Section 3 and a new lemma. V3: typos corrected)

References in corpus (7)

• Gauge Symmetry and Supersymmetry of Multiple M2-Branes
• Constraining Maximally Supersymmetric Membrane Actions
• M2 to D2 revisited
• Is There Really a de Sitter/CFT Duality
• Pluecker-type relations for orthogonal planes
• On the structure of k-Lie algebras
• Prolongations of Lie algebras and applications

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