Metric 3-Lie algebras for unitary Bagger-Lambert theories

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dc.creatorde Medeiros, Paul
dc.creatorFigueroa-O'Farrill, José
dc.creatorMéndez-Escobar, Elena
dc.creatorRitter, Patricia
dc.date2009-02-26
dc.date.accessioned2026-07-07T13:12:05Z
dc.date.available2026-07-07T13:12:05Z
dc.descriptionWe prove a structure theorem for finite-dimensional indefinite-signature metric 3-Lie algebras admitting a maximally isotropic centre. This algebraic condition indicates that all the negative-norm states in the associated Bagger-Lambert theory can be consistently decoupled from the physical Hilbert space. As an immediate application of the theorem, new examples beyond index 2 are constructed. The lagrangian for the Bagger-Lambert theory based on a general physically admissible 3-Lie algebra of this kind is obtained. Following an expansion around a suitable vacuum, the precise relationship between such theories and certain more conventional maximally supersymmetric gauge theories is found. These typically involve particular combinations of N=8 super Yang-Mills and massive vector supermultiplets. A dictionary between the 3-Lie algebraic data and the physical parameters in the resulting gauge theories will thereby be provided.
dc.description38 pages
dc.identifierhttps://arxiv.org/abs/0902.4674
dc.identifierhttp://arxiv.org/abs/0902.4674
dc.identifierJHEP 0904:037,2009
dc.identifierdoi:10.1088/1126-6708/2009/04/037
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/229483
dc.subjectHigh Energy Physics - Theory
dc.subjectRings and Algebras
dc.subjectRepresentation Theory
dc.titleMetric 3-Lie algebras for unitary Bagger-Lambert theories
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