Physics – High Energy Physics – High Energy Physics - Theory
Scientific paper
2009-02-26
JHEP 0904:037,2009
Physics
High Energy Physics
High Energy Physics - Theory
38 pages
Scientific paper
10.1088/1126-6708/2009/04/037
We 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.
Figueroa-O'Farrill José
Medeiros Paul de
Méndez-Escobar Elena
Ritter Patricia
No associations
LandOfFree
Metric 3-Lie algebras for unitary Bagger-Lambert theories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Metric 3-Lie algebras for unitary Bagger-Lambert theories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Metric 3-Lie algebras for unitary Bagger-Lambert theories will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-254935