TL;DR
This paper derives the superalgebra for the Bagger-Lambert theory, including the ABJM case, and interprets central charges in terms of BPS brane configurations, providing new insights into the theory's structure.
Contribution
It presents the general form of the worldvolume superalgebra for Bagger-Lambert theory and derives the superalgebra for ABJM, including BPS equations and brane interpretations.
Findings
Derived the superalgebra for Bagger-Lambert theory.
Obtained the superalgebra for ABJM theory as a special case.
Identified central charges related to BPS brane configurations.
Abstract
In arXiv:0806.0363 the worldvolume superalgebra of the Bagger-Lambert theory was calculated. In this paper we derive the general form for the worldvolume superalgebra of the Bagger-Lambert theory. For a particular choice of three-algebra we derive the superalgebra of the ABJM theory. We interpret the associated central charges in terms of BPS brane configurations. In particular we find the central charge corresponding to the energy bound of the BPS fuzzy-funnel configuration of the ABJM theory. We also derive general expressions for the BPS equations of the Bagger-Lambert theory.
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