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

TL;DR

This paper explores BPS equations and supersymmetric configurations in the Bagger-Lambert theory, revealing how various M-brane bound states preserve different fractions of supersymmetry and providing explicit solutions for some cases.

Contribution

It offers a detailed M-theory interpretation of BPS equations in the Bagger-Lambert theory and presents explicit solutions for certain 1/2-BPS configurations.

Findings

Multiple M-brane intersections can preserve from 1/16 to 3/4 of supersymmetry.

Explicit solutions for some 1/2-BPS equations are provided.

The superalgebra's central extensions correspond to various M-theory objects.

Abstract

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.