Metric 3-Lie algebras for unitary Bagger-Lambert theories
Autor: | de Medeiros, Paul, Figueroa-O'Farrill, José, Méndez-Escobar, Elena, Ritter, Patricia |
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Rok vydání: | 2009 |
Předmět: | |
Zdroj: | JHEP 0904:037,2009 |
Druh dokumentu: | Working Paper |
DOI: | 10.1088/1126-6708/2009/04/037 |
Popis: | 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. Comment: 38 pages |
Databáze: | arXiv |
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