Metric 3-Lie algebras for unitary Bagger-Lambert theories

Autor:	de Medeiros, Paul, Figueroa-O'Farrill, José, Méndez-Escobar, Elena, Ritter, Patricia
Rok vydání:	2009
Předmět:	High Energy Physics - Theory Mathematics - Rings and Algebras Mathematics - Representation Theory
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
Externí odkaz:	http://arxiv.org/abs/0902.4674 Zobrazit plný text záznamu View this record from Arxiv