Lorentzian Lie 3-algebras and their Bagger-Lambert moduli space

Paul de Medeiros, Jose Figueroa-O'Farrill, Elena Mendez-Escobar

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We classify Lie 3-algebras possessing an invariant lorentzian inner product. The indecomposable objects are either one-dimensional, simple or in one-to-one correspondence with compact real forms of metric semisimple Lie algebras. We analyse the moduli space of classical vacua of the Bagger-Lambert theory corresponding to these Lie 3-algebras. We establish a one-to-one correspondence between one branch of the moduli space and compact riemannian symmetric spaces. We analyse the asymptotic behaviour of the moduli space and identify a large class of models with moduli branches exhibiting the desired N-3/2 behaviour.

Original languageEnglish
Article number111
Pages (from-to)-
Number of pages28
JournalJournal of High Energy Physics
Issue number7
Publication statusPublished - Jul 2008


  • M-theory
  • p-branes
  • AdS-CFT correspondence


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