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

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

2008-05-28

arxiv.org/abs/0805.4363v3

JHEP0807:111,2008

Physics

High Energy Physics

High Energy Physics - Theory

25 pages, 2 figures. V2: some minor cosmetic changes, several references added, a misattribution corrected, acknowledgments no

Scientific paper

10.1088/1126-6708/2008/07/111

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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