M-brane bound states and the supersymmetry of BPS solutions in the Bagger-Lambert theory

Details M-brane bound states and the supersymmetry of BPS solutions in the Bagger-Lambert theory M-brane bound states and the supersymmetry of BPS solutions in the Bagger-Lambert theory

2008-09-04

arxiv.org/abs/0809.0856v3

Int.J.Mod.Phys.A24:5779-5801,2009

Physics

High Energy Physics

High Energy Physics - Theory

20 pages;v2 refs added;v3 refs added. typos corrected

Scientific paper

10.1142/S0217751X0904631X

We continue our study of BPS equations and supersymmetric configurations in the Bagger-Lambert theory. The superalgebra allows three different types of central extensions which correspond to compounds of various M-theory objects: M2-branes, M5-branes, gravity waves and Kaluza-Klein monopoles which intersect or have overlaps with the M2-branes whose dynamics is given by the Bagger-Lambert action. As elementary objects they are all 1/2-BPS, and multiple intersections of $n$-branes generically break the supersymmetry into $1/2^n$, as it is well known. But a particular composite of M-branes can preserve from 1/16 up to 3/4 of the original ${\cal N}=8$ supersymmetries as previously discovered. In this paper we provide the M-theory interpretation for various BPS equations, and also present explicit solutions to some 1/2-BPS equations.

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