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arXiv · 0805.4363

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

Paul de Medeiros·José Figueroa-O'Farrill·Elena Méndez-Escobar
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Abstract

We classify Lie 3-algebras possessing an invariant lorentzian inner product. The indecomposable objects are 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.

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Paul de Medeiros, José Figueroa-O'Farrill, Elena Méndez-Escobar. 2008-06-19. Lorentzian Lie 3-algebras and their Bagger-Lambert moduli space. https://doi.org/10.1088/1126-6708%2F2008%2F07%2F111

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