期刊
JOURNAL OF HIGH ENERGY PHYSICS
卷 -, 期 3, 页码 -出版社
SPRINGER
DOI: 10.1088/1126-6708/2009/03/045
关键词
D-branes; M-Theory
资金
- Japan-Taiwan Joint Research Program provided by Interchange Association (Japan)
- National Science Council
- MEXT, Japan [20540253]
- COE
- Grants-in-Aid for Scientific Research [20540253] Funding Source: KAKEN
We construct a class of Lie 3-algebras with an arbitrary number of pairs of generators with Lorentzian signature metric. Some examples are given and corresponding BLG models are studied. We show that such a system in general describes supersymmetric massive vector multiplets after the ghost fields are Higgsed. Simple systems with nontrivial interaction are realized by infinite dimensional Lie 3-algebras associated with the loop algebras. The massive fields are then naturally identified with the Kaluza-Klein modes by the toroidal compactification triggered by the ghost fields. For example, Dp-brane with an (infinite dimensional) affine Lie algebra symmetry g can be identified with D(p + 1)-brane with gauge symmetry g.
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