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

De Medeiros, Paul F., Figueroa-O'Farrill, José and Méndez-Escobar, Elena 2008. Lorentzian Lie 3-algebras and their Bagger-Lambert moduli space. Journal of High Energy Physics 2008 (07) , 111. 10.1088/1126-6708/2008/07/111

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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 N3/2 behaviour.

Item Type: Article
Date Type: Publication
Status: Published
Schools: Mathematics
Subjects: Q Science > QA Mathematics
Uncontrolled Keywords: M-Theory; p-branes; AdS-CFT and dS-CFT Correspondence
Publisher: IOP Science
ISSN: 1029-8479
Last Modified: 19 Mar 2016 23:07

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