# M-brane bound states and the supersymmetry of BPS solutions in the Bagger-Lambert theory - High Energy Physics - Theory

Abstract: We continue our study of BPS equations and supersymmetric configurations inthe Bagger-Lambert theory. The superalgebra allows three different types ofcentral extensions which correspond to compounds of various M-theory objects:M2-branes, M5-branes, gravity waves and Kaluza-Klein monopoles which intersector have overlaps with the M2-branes whose dynamics is given by theBagger-Lambert action. As elementary objects they are all 1-2-BPS, and multipleintersections 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 from1-16 up to 3-4 of the original ${\cal N}=8$ supersymmetries as previouslydiscovered. In this paper we provide the M-theory interpretation for variousBPS equations, and also present explicit solutions to some 1-2-BPS equations.

Author: Imtak Jeon, Jongwook Kim, Nakwoo Kim, Bum-Hoon Lee, Jeong-Hyuck Park

Source: https://arxiv.org/