M2-Brane Superalgebra from Bagger-Lambert Theory

TL;DR

This paper demonstrates that the Bagger-Lambert theory explicitly realizes the M2-brane superalgebra, including central charges, and shows that solitons correspond to intersecting branes saturating BPS bounds.

Contribution

It provides an explicit computation confirming the Bagger-Lambert Lagrangian encodes the full M2-brane superalgebra with central extensions.

Findings

Bagger-Lambert theory realizes the M2-brane superalgebra explicitly.

Solitons in the theory correspond to intersecting branes.

Solitons saturate BPS bounds related to central charges.

Abstract

It is known that the M2-brane worldvolume superalgebra includes two p-form central charges that encode the M-theory intersections involving M2-branes. In this paper we show by explicit computation that the Bagger-Lambert Lagrangian realizes the M2-brane superalgebra, including also the central extensions. Solitons of the Bagger-Lambert theory, that are interpreted as worldvolume realizations of intersecting branes, are shown to saturate a BPS-bound given in terms of the corresponding central charge.